2494640332800 has 3528 divisors, whose sum is σ = 12150142376832. Its totient is φ = 501645312000.

The previous prime is 2494640332771. The next prime is 2494640332861. The reversal of 2494640332800 is 82330464942.

2494640332800 is a `hidden beast` number, since 249 + 46 + 40 + 3 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 80472268785 + ... + 80472268815.

Almost surely, 2^{2494640332800} is an apocalyptic number.

2494640332800 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 2494640332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075071188416).

2494640332800 is an abundant number, since it is smaller than the sum of its proper divisors (9655502044032).

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

2494640332800 is an equidigital number, since it uses as much as digits as its factorization.

2494640332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2494640332800 in words is "two trillion, four hundred ninety-four billion, six hundred forty million, three hundred thirty-two thousand, eight hundred".