2972655800352 has 384 divisors, whose sum is σ = 10238038917120. Its totient is φ = 821165506560.

The previous prime is 2972655800327. The next prime is 2972655800353. The reversal of 2972655800352 is 2530085562792.

It is a happy number.

2972655800352 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 6 + 5 + 580 + 0 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2972655800353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218041728 + ... + 218055360.

It is an arithmetic number, because the mean of its divisors is an integer number (26661559680).

Almost surely, 2^{2972655800352} 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 2972655800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119019458560).

2972655800352 is an abundant number, since it is smaller than the sum of its proper divisors (7265383116768).

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

2972655800352 is a wasteful number, since it uses less digits than its factorization.

2972655800352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14853 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2972655800352 in words is "two trillion, nine hundred seventy-two billion, six hundred fifty-five million, eight hundred thousand, three hundred fifty-two".