2970864000 has 768 divisors, whose sum is σ = 12319070400. Its totient is φ = 699494400.

The previous prime is 2970863989. The next prime is 2970864011. The reversal of 2970864000 is 4680792.

2970864000 is a `hidden beast` number, since 2 + 9 + 7 + 0 + 8 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2970863989) and next prime (2970864011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129167989 + ... + 129168011.

Almost surely, 2^2970864000 is an apocalyptic number.

2970864000 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 2970864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159535200).

2970864000 is an abundant number, since it is smaller than the sum of its proper divisors (9348206400).

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

2970864000 is a wasteful number, since it uses less digits than its factorization.

2970864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2970864000 is about 54505.6327364429. The cubic root of 2970864000 is about 1437.5653303642.

The spelling of 2970864000 in words is "two billion, nine hundred seventy million, eight hundred sixty-four thousand".