2957584320 has 224 divisors, whose sum is σ = 10544251200. Its totient is φ = 780337152.

The previous prime is 2957584297. The next prime is 2957584363. The reversal of 2957584320 is 234857592.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836316 + ... + 839844.

It is an arithmetic number, because the mean of its divisors is an integer number (47072550).

Almost surely, 2^2957584320 is an apocalyptic number.

2957584320 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 2957584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272125600).

2957584320 is an abundant number, since it is smaller than the sum of its proper divisors (7586666880).

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

2957584320 is a wasteful number, since it uses less digits than its factorization.

2957584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2957584320 is about 54383.6769628535. The cubic root of 2957584320 is about 1435.4201718126.

The spelling of 2957584320 in words is "two billion, nine hundred fifty-seven million, five hundred eighty-four thousand, three hundred twenty".