2565178040 has 64 divisors (see below), whose sum is σ = 6063336000. Its totient is φ = 974820352.

The previous prime is 2565178037. The next prime is 2565178051. The reversal of 2565178040 is 408715652.

It is a junction number, because it is equal to n+sod(n) for n = 2565177985 and 2565178003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127724 + ... + 146436.

It is an arithmetic number, because the mean of its divisors is an integer number (94739625).

Almost surely, 2^2565178040 is an apocalyptic number.

2565178040 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 2565178040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031668000).

2565178040 is an abundant number, since it is smaller than the sum of its proper divisors (3498157960).

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

2565178040 is a wasteful number, since it uses less digits than its factorization.

2565178040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18896 (or 18892 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 2565178040 is about 50647.5867144724. The cubic root of 2565178040 is about 1368.9024615865.

The spelling of 2565178040 in words is "two billion, five hundred sixty-five million, one hundred seventy-eight thousand, forty".