2972615772000 has 1152 divisors, whose sum is σ = 11986652740608. Its totient is φ = 640797696000.

The previous prime is 2972615771963. The next prime is 2972615772041. The reversal of 2972615772000 is 2775162792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 987250495 + ... + 987253505.

It is an arithmetic number, because the mean of its divisors is an integer number (10405080504).

Almost surely, 2^{2972615772000} is an apocalyptic number.

2972615772000 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 2972615772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993326370304).

2972615772000 is an abundant number, since it is smaller than the sum of its proper divisors (9014036968608).

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

2972615772000 is a wasteful number, since it uses less digits than its factorization.

2972615772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 2972615772000 in words is "two trillion, nine hundred seventy-two billion, six hundred fifteen million, seven hundred seventy-two thousand".