2952937980720 has 1920 divisors, whose sum is σ = 13415041382400. Its totient is φ = 581255626752.

The previous prime is 2952937980691. The next prime is 2952937980749. The reversal of 2952937980720 is 270897392592.

2952937980720 is a `hidden beast` number, since 2 + 9 + 529 + 3 + 7 + 9 + 80 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2952937980691) and next prime (2952937980749).

It is a super-2 number, since 2×2952937980720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12894925566 + ... + 12894925794.

It is an arithmetic number, because the mean of its divisors is an integer number (6987000720).

Almost surely, 2^{2952937980720} is an apocalyptic number.

2952937980720 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 2952937980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707520691200).

2952937980720 is an abundant number, since it is smaller than the sum of its proper divisors (10462103401680).

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

2952937980720 is a wasteful number, since it uses less digits than its factorization.

2952937980720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 2952937980720 in words is "two trillion, nine hundred fifty-two billion, nine hundred thirty-seven million, nine hundred eighty thousand, seven hundred twenty".