2978407411200 has 3840 divisors, whose sum is σ = 13605029222400. Its totient is φ = 630639820800.

The previous prime is 2978407411123. The next prime is 2978407411249. The reversal of 2978407411200 is 21147048792.

2978407411200 is a `hidden beast` number, since 29 + 7 + 8 + 4 + 0 + 7 + 411 + 200 = 666.

2978407411200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 72644083180 + ... + 72644083220.

It is an arithmetic number, because the mean of its divisors is an integer number (3542976360).

Almost surely, 2^{2978407411200} is an apocalyptic number.

2978407411200 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 2978407411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802514611200).

2978407411200 is an abundant number, since it is smaller than the sum of its proper divisors (10626621811200).

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

2978407411200 is a wasteful number, since it uses less digits than its factorization.

2978407411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

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

The spelling of 2978407411200 in words is "two trillion, nine hundred seventy-eight billion, four hundred seven million, four hundred eleven thousand, two hundred".