2491288166400 has 2016 divisors, whose sum is σ = 9960226504704. Its totient is φ = 547160064000.

The previous prime is 2491288166387. The next prime is 2491288166443. The reversal of 2491288166400 is 46618821942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53006131177 + ... + 53006131223.

It is an arithmetic number, because the mean of its divisors is an integer number (4940588544).

Almost surely, 2^{2491288166400} is an apocalyptic number.

2491288166400 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 2491288166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980113252352).

2491288166400 is an abundant number, since it is smaller than the sum of its proper divisors (7468938338304).

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

2491288166400 is a wasteful number, since it uses less digits than its factorization.

2491288166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 2491288166400 in words is "two trillion, four hundred ninety-one billion, two hundred eighty-eight million, one hundred sixty-six thousand, four hundred".