2549180672352 has 576 divisors, whose sum is σ = 8582576486400. Its totient is φ = 733168558080.

The previous prime is 2549180672347. The next prime is 2549180672407. The reversal of 2549180672352 is 2532760819452.

2549180672352 is a `hidden beast` number, since 2 + 5 + 49 + 180 + 6 + 72 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147062278 + ... + 147079610.

It is an arithmetic number, because the mean of its divisors is an integer number (14900306400).

It is a 1-persistent number, because it is pandigital, but 2⋅2549180672352 = 5098361344704 is not.

Almost surely, 2^{2549180672352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549180672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291288243200).

2549180672352 is an abundant number, since it is smaller than the sum of its proper divisors (6033395814048).

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

2549180672352 is a wasteful number, since it uses less digits than its factorization.

2549180672352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17436 (or 17405 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2549180672352 in words is "two trillion, five hundred forty-nine billion, one hundred eighty million, six hundred seventy-two thousand, three hundred fifty-two".