2491247116800 has 1080 divisors, whose sum is σ = 9892679945148. Its totient is φ = 598081536000.

The previous prime is 2491247116781. The next prime is 2491247116801. The reversal of 2491247116800 is 86117421942.

2491247116800 is a `hidden beast` number, since 2 + 4 + 9 + 12 + 471 + 168 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 2154977024256 + 336270092544 = 1467984^2 + 579888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2491247116801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 798219240 + ... + 798222360.

Almost surely, 2^{2491247116800} is an apocalyptic number.

2491247116800 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 2491247116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946339972574).

2491247116800 is an abundant number, since it is smaller than the sum of its proper divisors (7401432828348).

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

2491247116800 is a wasteful number, since it uses less digits than its factorization.

2491247116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2491247116800 in words is "two trillion, four hundred ninety-one billion, two hundred forty-seven million, one hundred sixteen thousand, eight hundred".