2493362995200 has 2280 divisors, whose sum is σ = 11705206396224. Its totient is φ = 509607936000.

The previous prime is 2493362995159. The next prime is 2493362995241. The reversal of 2493362995200 is 25992633942.

2493362995200 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 3 + 629 + 9 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2493362995159) and next prime (2493362995241).

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 119 ways as a sum of consecutive naturals, for example, 40874803170 + ... + 40874803230.

Almost surely, 2^{2493362995200} is an apocalyptic number.

2493362995200 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 2493362995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852603198112).

2493362995200 is an abundant number, since it is smaller than the sum of its proper divisors (9211843401024).

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

2493362995200 is an frugal number, since it uses more digits than its factorization.

2493362995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2493362995200 in words is "two trillion, four hundred ninety-three billion, three hundred sixty-two million, nine hundred ninety-five thousand, two hundred".