2720978114400 has 3456 divisors, whose sum is σ = 12962120371200. Its totient is φ = 553063956480.

The previous prime is 2720978114377. The next prime is 2720978114429. The reversal of 2720978114400 is 44118790272.

2720978114400 is a `hidden beast` number, since 2 + 72 + 0 + 97 + 81 + 14 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 37273672764 + ... + 37273672836.

Almost surely, 2^{2720978114400} is an apocalyptic number.

2720978114400 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 2720978114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481060185600).

2720978114400 is an abundant number, since it is smaller than the sum of its proper divisors (10241142256800).

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

2720978114400 is a wasteful number, since it uses less digits than its factorization.

2720978114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 2720978114400 in words is "two trillion, seven hundred twenty billion, nine hundred seventy-eight million, one hundred fourteen thousand, four hundred".