2957213680 has 80 divisors (see below), whose sum is σ = 7101509760. Its totient is φ = 1144580096.

The previous prime is 2957213653. The next prime is 2957213711. The reversal of 2957213680 is 863127592.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2957213680² = 17490225498358284800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 330222 + ... + 339058.

It is an arithmetic number, because the mean of its divisors is an integer number (88768872).

Almost surely, 2^2957213680 is an apocalyptic number.

2957213680 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 2957213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550754880).

2957213680 is an abundant number, since it is smaller than the sum of its proper divisors (4144296080).

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

2957213680 is a wasteful number, since it uses less digits than its factorization.

2957213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2957213680 is about 54380.2692159574. The cubic root of 2957213680 is about 1435.3602077450.

The spelling of 2957213680 in words is "two billion, nine hundred fifty-seven million, two hundred thirteen thousand, six hundred eighty".