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2040252144 = 243717221011
BaseRepresentation
bin111100110011011…
…1100011011110000
312021012002112210020
41321212330123300
513134301032034
6534241403440
7101362566660
oct17146743360
95235075706
102040252144
1195773a6a7
1248b339580
132668cb8b8
14154d761a0
15be1b4249
hex799bc6f0

2040252144 has 120 divisors (see below), whose sum is σ = 6399078528. Its totient is φ = 548613120.

The previous prime is 2040252143. The next prime is 2040252157. The reversal of 2040252144 is 4412520402.

It is a happy number.

It is a super-2 number, since 2×20402521442 = 8325257622193193472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040252143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86599 + ... + 107609.

Almost surely, 22040252144 is an apocalyptic number.

2040252144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199539264).

2040252144 is an abundant number, since it is smaller than the sum of its proper divisors (4358826384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040252144 is a wasteful number, since it uses less digits than its factorization.

2040252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21063 (or 21040 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2040252144 is about 45169.1503572959. The cubic root of 2040252144 is about 1268.3173914482.

Adding to 2040252144 its reverse (4412520402), we get a palindrome (6452772546).

The spelling of 2040252144 in words is "two billion, forty million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 289 336 357 408 476 578 714 816 867 952 1156 1428 1734 1904 2023 2312 2856 3468 4046 4624 5712 6069 6936 8092 12138 13872 16184 21011 24276 32368 42022 48552 63033 84044 97104 126066 147077 168088 252132 294154 336176 357187 441231 504264 588308 714374 882462 1008528 1071561 1176616 1428748 1764924 2143122 2353232 2500309 2857496 3529848 4286244 5000618 5714992 6072179 7059696 7500927 8572488 10001236 12144358 15001854 17144976 18216537 20002472 24288716 30003708 36433074 40004944 42505253 48577432 60007416 72866148 85010506 97154864 120014832 127515759 145732296 170021012 255031518 291464592 340042024 510063036 680084048 1020126072 2040252144