2494687390200 has 576 divisors, whose sum is σ = 8644952759040. Its totient is φ = 644432855040.

The previous prime is 2494687390177. The next prime is 2494687390229. The reversal of 2494687390200 is 20937864942.

2494687390200 is a `hidden beast` number, since 2 + 4 + 9 + 46 + 8 + 7 + 390 + 200 = 666.

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, 2890714969 + ... + 2890715831.

It is an arithmetic number, because the mean of its divisors is an integer number (15008598540).

Almost surely, 2^{2494687390200} is an apocalyptic number.

2494687390200 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 2494687390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322476379520).

2494687390200 is an abundant number, since it is smaller than the sum of its proper divisors (6150265368840).

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

2494687390200 is a wasteful number, since it uses less digits than its factorization.

2494687390200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2494687390200 in words is "two trillion, four hundred ninety-four billion, six hundred eighty-seven million, three hundred ninety thousand, two hundred".