2978707782960 has 2880 divisors, whose sum is σ = 14344451896320. Its totient is φ = 558976204800.

The previous prime is 2978707782913. The next prime is 2978707782961. The reversal of 2978707782960 is 692877078792.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2978707782961) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7428198760 + ... + 7428199160.

It is an arithmetic number, because the mean of its divisors is an integer number (4980712464).

Almost surely, 2^{2978707782960} is an apocalyptic number.

2978707782960 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 2978707782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172225948160).

2978707782960 is an abundant number, since it is smaller than the sum of its proper divisors (11365744113360).

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

2978707782960 is a wasteful number, since it uses less digits than its factorization.

2978707782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 2978707782960 in words is "two trillion, nine hundred seventy-eight billion, seven hundred seven million, seven hundred eighty-two thousand, nine hundred sixty".