2561286936 has 96 divisors (see below), whose sum is σ = 6956928000. Its totient is φ = 785446272.

The previous prime is 2561286907. The next prime is 2561286941. The reversal of 2561286936 is 6396821652.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455225 + ... + 1456983.

It is an arithmetic number, because the mean of its divisors is an integer number (72468000).

Almost surely, 2^2561286936 is an apocalyptic number.

2561286936 is a gapful number since it is divisible by the number (26) 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 2561286936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478464000).

2561286936 is an abundant number, since it is smaller than the sum of its proper divisors (4395641064).

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

2561286936 is a wasteful number, since it uses less digits than its factorization.

2561286936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2136 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2561286936 is about 50609.1586177838. The cubic root of 2561286936 is about 1368.2099511902.

The spelling of 2561286936 in words is "two billion, five hundred sixty-one million, two hundred eighty-six thousand, nine hundred thirty-six".