2970642467520 has 2268 divisors, whose sum is σ = 13703969751264. Its totient is φ = 588535234560.

The previous prime is 2970642467497. The next prime is 2970642467543. The reversal of 2970642467520 is 257642460792.

It is a happy number.

2970642467520 is a `hidden beast` number, since 2 + 9 + 70 + 6 + 4 + 2 + 46 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2970642467497) and next prime (2970642467543).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6892441705 + ... + 6892442135.

Almost surely, 2^{2970642467520} is an apocalyptic number.

2970642467520 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 2970642467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851984875632).

2970642467520 is an abundant number, since it is smaller than the sum of its proper divisors (10733327283744).

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

2970642467520 is a wasteful number, since it uses less digits than its factorization.

2970642467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2970642467520 in words is "two trillion, nine hundred seventy billion, six hundred forty-two million, four hundred sixty-seven thousand, five hundred twenty".