2610800640 has 768 divisors, whose sum is σ = 11321856000. Its totient is φ = 557383680.

The previous prime is 2610800629. The next prime is 2610800657. The reversal of 2610800640 is 460080162.

2610800640 is a `hidden beast` number, since 2 + 6 + 10 + 8 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771805 + ... + 36771875.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^2610800640 is an apocalyptic number.

2610800640 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 2610800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

2610800640 is an abundant number, since it is smaller than the sum of its proper divisors (8711055360).

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

2610800640 is a wasteful number, since it uses less digits than its factorization.

2610800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2610800640 is about 51095.9943635507. The cubic root of 2610800640 is about 1376.9702909373.

The spelling of 2610800640 in words is "two billion, six hundred ten million, eight hundred thousand, six hundred forty".