2562359040 has 216 divisors, whose sum is σ = 8904914928. Its totient is φ = 680263680.

The previous prime is 2562359027. The next prime is 2562359053. The reversal of 2562359040 is 409532652.

2562359040 is a `hidden beast` number, since 2 + 5 + 6 + 23 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2562359027) and next prime (2562359053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2562358986 and 2562359004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3997120 + ... + 3997760.

It is an arithmetic number, because the mean of its divisors is an integer number (41226458).

Almost surely, 2^2562359040 is an apocalyptic number.

2562359040 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 2562359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452457464).

2562359040 is an abundant number, since it is smaller than the sum of its proper divisors (6342555888).

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

2562359040 is a wasteful number, since it uses less digits than its factorization.

2562359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2562359040 is about 50619.7495055043. The cubic root of 2562359040 is about 1368.4008264258.

It can be divided in two parts, 256 and 2359040, that added together give a square (2359296 = 1536²).

The spelling of 2562359040 in words is "two billion, five hundred sixty-two million, three hundred fifty-nine thousand, forty".