2957095680 has 576 divisors, whose sum is σ = 12023036928. Its totient is φ = 601620480.

The previous prime is 2957095657. The next prime is 2957095703. The reversal of 2957095680 is 865907592.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2957095657) and next prime (2957095703).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21584572 + ... + 21584708.

It is an arithmetic number, because the mean of its divisors is an integer number (20873328).

Almost surely, 2^2957095680 is an apocalyptic number.

2957095680 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 2957095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011518464).

2957095680 is an abundant number, since it is smaller than the sum of its proper divisors (9065941248).

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

2957095680 is a wasteful number, since it uses less digits than its factorization.

2957095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 2957095680 is about 54379.1842528003. The cubic root of 2957095680 is about 1435.3411160396.

It can be divided in two parts, 29570 and 95680, that added together give a triangular number (125250 = T₅₀₀).

The spelling of 2957095680 in words is "two billion, nine hundred fifty-seven million, ninety-five thousand, six hundred eighty".