2672434682400 has 576 divisors, whose sum is σ = 10325435129856. Its totient is φ = 587492352000.

The previous prime is 2672434682353. The next prime is 2672434682413. The reversal of 2672434682400 is 42864342762.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 2672434682400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84874660 + ... + 84906140.

It is an arithmetic number, because the mean of its divisors is an integer number (17926102656).

Almost surely, 2^{2672434682400} is an apocalyptic number.

2672434682400 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 2672434682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162717564928).

2672434682400 is an abundant number, since it is smaller than the sum of its proper divisors (7653000447456).

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

2672434682400 is a wasteful number, since it uses less digits than its factorization.

2672434682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31705 (or 31692 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 2672434682400 in words is "two trillion, six hundred seventy-two billion, four hundred thirty-four million, six hundred eighty-two thousand, four hundred".