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2400402040 = 235174018803
BaseRepresentation
bin1000111100010011…
…0011101001111000
320012021210001120021
42033010303221320
514404000331130
61034104540224
7113325036451
oct21704635170
96167701507
102400402040
111021a67643
1256ba81674
132c33c994a
1418ab26128
15e0b0537a
hex8f133a78

2400402040 has 64 divisors (see below), whose sum is σ = 5733516960. Its totient is φ = 901324800.

The previous prime is 2400401999. The next prime is 2400402041. The reversal of 2400402040 is 402040042.

2400402040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400402041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268279 + ... + 277081.

Almost surely, 22400402040 is an apocalyptic number.

2400402040 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 2400402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866758480).

2400402040 is an abundant number, since it is smaller than the sum of its proper divisors (3333114920).

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

2400402040 is a wasteful number, since it uses less digits than its factorization.

2400402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400402040 is about 48993.8979874025. The cubic root of 2400402040 is about 1338.9406567744.

Adding to 2400402040 its reverse (402040042), we get a palindrome (2802442082).

The spelling of 2400402040 in words is "two billion, four hundred million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 401 680 802 1604 2005 3208 4010 6817 8020 8803 13634 16040 17606 27268 34085 35212 44015 54536 68170 70424 88030 136340 149651 176060 272680 299302 352120 598604 748255 1197208 1496510 2993020 3530003 5986040 7060006 14120012 17650015 28240024 35300030 60010051 70600060 120020102 141200120 240040204 300050255 480080408 600100510 1200201020 2400402040