2970115456 has 128 divisors (see below), whose sum is σ = 7615825920. Its totient is φ = 1119744000.

The previous prime is 2970115453. The next prime is 2970115457. The reversal of 2970115456 is 6545110792.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970115451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300676 + ... + 310396.

It is an arithmetic number, because the mean of its divisors is an integer number (59498640).

Almost surely, 2^2970115456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807912960).

2970115456 is an abundant number, since it is smaller than the sum of its proper divisors (4645710464).

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

2970115456 is a wasteful number, since it uses less digits than its factorization.

2970115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 2970115456 is about 54498.7656373977. The cubic root of 2970115456 is about 1437.4445830785. Note that the first 3 decimals are identical.

The spelling of 2970115456 in words is "two billion, nine hundred seventy million, one hundred fifteen thousand, four hundred fifty-six".