2215956960 has 384 divisors, whose sum is σ = 8949104640. Its totient is φ = 501645312.

The previous prime is 2215956937. The next prime is 2215956983. The reversal of 2215956960 is 696595122.

It is a happy number.

2215956960 is a `hidden beast` number, since 2 + 21 + 5 + 9 + 569 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2215956937) and next prime (2215956983).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840192 + ... + 3840768.

It is an arithmetic number, because the mean of its divisors is an integer number (23304960).

Almost surely, 2^2215956960 is an apocalyptic number.

2215956960 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 2215956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474552320).

2215956960 is an abundant number, since it is smaller than the sum of its proper divisors (6733147680).

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

2215956960 is a wasteful number, since it uses less digits than its factorization.

2215956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2215956960 is about 47073.9520329449. The cubic root of 2215956960 is about 1303.7283424219.

The spelling of 2215956960 in words is "two billion, two hundred fifteen million, nine hundred fifty-six thousand, nine hundred sixty".