2565036936 has 256 divisors, whose sum is σ = 9351936000. Its totient is φ = 631100160.

The previous prime is 2565036923. The next prime is 2565036961. The reversal of 2565036936 is 6396305652.

2565036936 is a `hidden beast` number, since 2 + 56 + 503 + 6 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2565036891 and 2565036900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311950 + ... + 320066.

It is an arithmetic number, because the mean of its divisors is an integer number (36531000).

Almost surely, 2^2565036936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565036936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675968000).

2565036936 is an abundant number, since it is smaller than the sum of its proper divisors (6786899064).

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

2565036936 is a wasteful number, since it uses less digits than its factorization.

2565036936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 2565036936 is about 50646.1936970588. The cubic root of 2565036936 is about 1368.8773611643.

It can be divided in two parts, 25650 and 36936, that multiplied together give a square (947408400 = 30780²).

The spelling of 2565036936 in words is "two billion, five hundred sixty-five million, thirty-six thousand, nine hundred thirty-six".