2657578640 has 40 divisors (see below), whose sum is σ = 6504077760. Its totient is φ = 1007081856.

The previous prime is 2657578607. The next prime is 2657578673. The reversal of 2657578640 is 468757562.

It is an interprime number because it is at equal distance from previous prime (2657578607) and next prime (2657578673).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872684 + ... + 875723.

It is an arithmetic number, because the mean of its divisors is an integer number (162601944).

Almost surely, 2^2657578640 is an apocalyptic number.

2657578640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2657578640 is an abundant number, since it is smaller than the sum of its proper divisors (3846499120).

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

2657578640 is a wasteful number, since it uses less digits than its factorization.

2657578640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748439 (or 1748433 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The square root of 2657578640 is about 51551.7084101002. The cubic root of 2657578640 is about 1385.1454342972.

The spelling of 2657578640 in words is "two billion, six hundred fifty-seven million, five hundred seventy-eight thousand, six hundred forty".