2972314849280 has 208 divisors, whose sum is σ = 8318019475200. Its totient is φ = 1019076968448.

The previous prime is 2972314849277. The next prime is 2972314849349. The reversal of 2972314849280 is 829484132792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6813077 + ... + 7236203.

Almost surely, 2^{2972314849280} is an apocalyptic number.

2972314849280 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 2972314849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159009737600).

2972314849280 is an abundant number, since it is smaller than the sum of its proper divisors (5345704625920).

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

2972314849280 is an frugal number, since it uses more digits than its factorization.

2972314849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423177 (or 423141 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 59.

The spelling of 2972314849280 in words is "two trillion, nine hundred seventy-two billion, three hundred fourteen million, eight hundred forty-nine thousand, two hundred eighty".