2979821272960 has 384 divisors, whose sum is σ = 8613458209440. Its totient is φ = 982032629760.

The previous prime is 2979821272937. The next prime is 2979821272969. The reversal of 2979821272960 is 692721289792.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 2979821272892 and 2979821272901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979821272969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96291090 + ... + 96322030.

Almost surely, 2^{2979821272960} is an apocalyptic number.

2979821272960 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 2979821272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306729104720).

2979821272960 is an abundant number, since it is smaller than the sum of its proper divisors (5633636936480).

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

2979821272960 is a wasteful number, since it uses less digits than its factorization.

2979821272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31094 (or 31075 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 2979821272960 in words is "two trillion, nine hundred seventy-nine billion, eight hundred twenty-one million, two hundred seventy-two thousand, nine hundred sixty".