2213040960 has 896 divisors, whose sum is σ = 9524390400. Its totient is φ = 477757440.

The previous prime is 2213040959. The next prime is 2213041007. The reversal of 2213040960 is 690403122.

2213040960 is a `hidden beast` number, since 221 + 30 + 409 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36279330 + ... + 36279390.

It is an arithmetic number, because the mean of its divisors is an integer number (10629900).

Almost surely, 2^2213040960 is an apocalyptic number.

2213040960 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 2213040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762195200).

2213040960 is an abundant number, since it is smaller than the sum of its proper divisors (7311349440).

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

2213040960 is a wasteful number, since it uses less digits than its factorization.

2213040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2213040960 is about 47042.9692940401. The cubic root of 2213040960 is about 1303.1562283288.

The spelling of 2213040960 in words is "two billion, two hundred thirteen million, forty thousand, nine hundred sixty".