2974129820480 has 448 divisors, whose sum is σ = 8979729088512. Its totient is φ = 912994467840.

The previous prime is 2974129820383. The next prime is 2974129820483. The reversal of 2974129820480 is 840289214792.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974129820483) 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, 363093185 + ... + 363101375.

It is an arithmetic number, because the mean of its divisors is an integer number (20044038144).

Almost surely, 2^{2974129820480} is an apocalyptic number.

2974129820480 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 2974129820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489864544256).

2974129820480 is an abundant number, since it is smaller than the sum of its proper divisors (6005599268032).

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

2974129820480 is a wasteful number, since it uses less digits than its factorization.

2974129820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 2974129820480 in words is "two trillion, nine hundred seventy-four billion, one hundred twenty-nine million, eight hundred twenty thousand, four hundred eighty".