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2499200240 = 2452310313187
BaseRepresentation
bin1001010011110110…
…1100010011110000
320110011200112012212
42110331230103300
520104243401430
61051554311252
7115634565035
oct22475542360
96404615185
102499200240
111072808149
12598b88528
1330aa0c414
14199cc338c
15e961db95
hex94f6c4f0

2499200240 has 80 divisors (see below), whose sum is σ = 6122608128. Its totient is φ = 946860288.

The previous prime is 2499200233. The next prime is 2499200269. The reversal of 2499200240 is 420029942.

2499200240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2499200197 and 2499200206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182927 + ... + 196113.

Almost surely, 22499200240 is an apocalyptic number.

2499200240 is a gapful number since it is divisible by the number (20) 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 2499200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061304064).

2499200240 is an abundant number, since it is smaller than the sum of its proper divisors (3623407888).

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

2499200240 is a wasteful number, since it uses less digits than its factorization.

2499200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2499200240 is about 49992.0017602816. The cubic root of 2499200240 is about 1357.0640673531.

The spelling of 2499200240 in words is "two billion, four hundred ninety-nine million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 103 115 184 206 230 368 412 460 515 824 920 1030 1648 1840 2060 2369 4120 4738 8240 9476 11845 13187 18952 23690 26374 37904 47380 52748 65935 94760 105496 131870 189520 210992 263740 303301 527480 606602 1054960 1213204 1358261 1516505 2426408 2716522 3033010 4852816 5433044 6066020 6791305 10866088 12132040 13582610 21732176 24264080 27165220 31240003 54330440 62480006 108660880 124960012 156200015 249920024 312400030 499840048 624800060 1249600120 2499200240