2562765440 has 64 divisors (see below), whose sum is σ = 6134002560. Its totient is φ = 1023869952.

The previous prime is 2562765431. The next prime is 2562765461. The reversal of 2562765440 is 445672652.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 678437 + ... + 682203.

It is an arithmetic number, because the mean of its divisors is an integer number (95843790).

Almost surely, 2^2562765440 is an apocalyptic number.

2562765440 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 2562765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067001280).

2562765440 is an abundant number, since it is smaller than the sum of its proper divisors (3571237120).

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

2562765440 is a wasteful number, since it uses less digits than its factorization.

2562765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The square root of 2562765440 is about 50623.7635898399. The cubic root of 2562765440 is about 1368.4731671464.

The spelling of 2562765440 in words is "two billion, five hundred sixty-two million, seven hundred sixty-five thousand, four hundred forty".