2970375466752 has 288 divisors, whose sum is σ = 9360873768960. Its totient is φ = 926923345920.

The previous prime is 2970375466711. The next prime is 2970375466753. The reversal of 2970375466752 is 2576645730792.

It is a happy number.

2970375466752 is a `hidden beast` number, since 2 + 9 + 7 + 0 + 37 + 546 + 6 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2970375466752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970375466753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7273102 + ... + 7670642.

It is an arithmetic number, because the mean of its divisors is an integer number (32503033920).

Almost surely, 2^{2970375466752} 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 2970375466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680436884480).

2970375466752 is an abundant number, since it is smaller than the sum of its proper divisors (6390498302208).

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

2970375466752 is a wasteful number, since it uses less digits than its factorization.

2970375466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397636 (or 397616 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 2970375466752 in words is "two trillion, nine hundred seventy billion, three hundred seventy-five million, four hundred sixty-six thousand, seven hundred fifty-two".