2978417070720 has 1280 divisors, whose sum is σ = 13861468051200. Its totient is φ = 591431860224.

The previous prime is 2978417070689. The next prime is 2978417070749. The reversal of 2978417070720 is 270707148792.

2978417070720 is a `hidden beast` number, since 2 + 97 + 8 + 417 + 0 + 70 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80177911 + ... + 80215049.

It is an arithmetic number, because the mean of its divisors is an integer number (10829271915).

Almost surely, 2^{2978417070720} is an apocalyptic number.

2978417070720 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 2978417070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930734025600).

2978417070720 is an abundant number, since it is smaller than the sum of its proper divisors (10883050980480).

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

2978417070720 is a wasteful number, since it uses less digits than its factorization.

2978417070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37207 (or 37186 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 2978417070720 in words is "two trillion, nine hundred seventy-eight billion, four hundred seventeen million, seventy thousand, seven hundred twenty".