2957321880 has 256 divisors, whose sum is σ = 10713600000. Its totient is φ = 722856960.

The previous prime is 2957321879. The next prime is 2957321881. The reversal of 2957321880 is 881237592.

It is a happy number.

2957321880 is a `hidden beast` number, since 295 + 73 + 218 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2957321879) and next prime (2957321881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957321881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633796 + ... + 638444.

It is an arithmetic number, because the mean of its divisors is an integer number (41850000).

Almost surely, 2^2957321880 is an apocalyptic number.

2957321880 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 2957321880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800000).

2957321880 is an abundant number, since it is smaller than the sum of its proper divisors (7756278120).

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

2957321880 is a wasteful number, since it uses less digits than its factorization.

2957321880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2957321880 is about 54381.2640529806. The cubic root of 2957321880 is about 1435.3777134218.

The spelling of 2957321880 in words is "two billion, nine hundred fifty-seven million, three hundred twenty-one thousand, eight hundred eighty".