2409780172800 has 1728 divisors, whose sum is σ = 10892002867200. Its totient is φ = 462009139200.

The previous prime is 2409780172763. The next prime is 2409780172829. The reversal of 2409780172800 is 82710879042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2409780172800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1076274081 + ... + 1076276319.

It is an arithmetic number, because the mean of its divisors is an integer number (6303242400).

Almost surely, 2^{2409780172800} is an apocalyptic number.

2409780172800 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 2409780172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446001433600).

2409780172800 is an abundant number, since it is smaller than the sum of its proper divisors (8482222694400).

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

2409780172800 is a wasteful number, since it uses less digits than its factorization.

2409780172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 2409780172800 in words is "two trillion, four hundred nine billion, seven hundred eighty million, one hundred seventy-two thousand, eight hundred".