2260413936 has 240 divisors, whose sum is σ = 7103116800. Its totient is φ = 665280000.

The previous prime is 2260413917. The next prime is 2260413973. The reversal of 2260413936 is 6393140622.

2260413936 is a `hidden beast` number, since 2 + 2 + 604 + 13 + 9 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2260413936.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11358765 + ... + 11358963.

It is an arithmetic number, because the mean of its divisors is an integer number (29596320).

Almost surely, 2^2260413936 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 2260413936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551558400).

2260413936 is an abundant number, since it is smaller than the sum of its proper divisors (4842702864).

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

2260413936 is a wasteful number, since it uses less digits than its factorization.

2260413936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2260413936 is about 47543.8107012890. The cubic root of 2260413936 is about 1312.3892329923.

The spelling of 2260413936 in words is "two billion, two hundred sixty million, four hundred thirteen thousand, nine hundred thirty-six".