2498741294400 has 1008 divisors, whose sum is σ = 9816561658176. Its totient is φ = 599068016640.

The previous prime is 2498741294341. The next prime is 2498741294429. The reversal of 2498741294400 is 44921478942.

2498741294400 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 74 + 129 + 440 + 0 = 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, 1134243699 + ... + 1134245901.

Almost surely, 2^{2498741294400} is an apocalyptic number.

2498741294400 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 2498741294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908280829088).

2498741294400 is an abundant number, since it is smaller than the sum of its proper divisors (7317820363776).

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

2498741294400 is a wasteful number, since it uses less digits than its factorization.

2498741294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2498741294400 in words is "two trillion, four hundred ninety-eight billion, seven hundred forty-one million, two hundred ninety-four thousand, four hundred".