2290678790400 has 6912 divisors, whose sum is σ = 12876375859200. Its totient is φ = 382205952000.

The previous prime is 2290678790399. The next prime is 2290678790467. The reversal of 2290678790400 is 40978760922.

2290678790400 is a `hidden beast` number, since 2 + 2 + 90 + 67 + 8 + 7 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 55870214380 + ... + 55870214420.

It is an arithmetic number, because the mean of its divisors is an integer number (1862901600).

Almost surely, 2^{2290678790400} is an apocalyptic number.

2290678790400 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 2290678790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438187929600).

2290678790400 is an abundant number, since it is smaller than the sum of its proper divisors (10585697068800).

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

2290678790400 is a wasteful number, since it uses less digits than its factorization.

2290678790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2290678790400 in words is "two trillion, two hundred ninety billion, six hundred seventy-eight million, seven hundred ninety thousand, four hundred".