2469788798400 has 2688 divisors, whose sum is σ = 11877731205120. Its totient is φ = 484227072000.

The previous prime is 2469788798383. The next prime is 2469788798419. The reversal of 2469788798400 is 48978879642.

2469788798400 is a `hidden beast` number, since 2 + 4 + 69 + 78 + 8 + 7 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4434090922 + ... + 4434091478.

Almost surely, 2^{2469788798400} is an apocalyptic number.

2469788798400 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 2469788798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938865602560).

2469788798400 is an abundant number, since it is smaller than the sum of its proper divisors (9407942406720).

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

2469788798400 is a wasteful number, since it uses less digits than its factorization.

2469788798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 2469788798400 in words is "two trillion, four hundred sixty-nine billion, seven hundred eighty-eight million, seven hundred ninety-eight thousand, four hundred".