2978329791360 has 3072 divisors, whose sum is σ = 13579777474560. Its totient is φ = 546236006400.

The previous prime is 2978329791347. The next prime is 2978329791373. The reversal of 2978329791360 is 631979238792.

It is an interprime number because it is at equal distance from previous prime (2978329791347) and next prime (2978329791373).

It is a super-2 number, since 2×2978329791360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2978329791291 and 2978329791300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23451415617 + ... + 23451415743.

It is an arithmetic number, because the mean of its divisors is an integer number (4420500480).

Almost surely, 2^{2978329791360} is an apocalyptic number.

2978329791360 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 2978329791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789888737280).

2978329791360 is an abundant number, since it is smaller than the sum of its proper divisors (10601447683200).

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

2978329791360 is a wasteful number, since it uses less digits than its factorization.

2978329791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 2978329791360 in words is "two trillion, nine hundred seventy-eight billion, three hundred twenty-nine million, seven hundred ninety-one thousand, three hundred sixty".