2311676204400 has 630 divisors, whose sum is σ = 8845846465752. Its totient is φ = 580164249600.

The previous prime is 2311676204399. The next prime is 2311676204401. The reversal of 2311676204400 is 44026761132.

2311676204400 is a `hidden beast` number, since 2 + 31 + 16 + 7 + 6 + 204 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2311676204399) and next prime (2311676204401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311676204401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 84258685 + ... + 84286115.

Almost surely, 2^{2311676204400} is an apocalyptic number.

2311676204400 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 2311676204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422923232876).

2311676204400 is an abundant number, since it is smaller than the sum of its proper divisors (6534170261352).

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

2311676204400 is a wasteful number, since it uses less digits than its factorization.

2311676204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27501 (or 27458 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2311676204400 in words is "two trillion, three hundred eleven billion, six hundred seventy-six million, two hundred four thousand, four hundred".