2149157278400 has 504 divisors, whose sum is σ = 6083990099712. Its totient is φ = 745251584000.

The previous prime is 2149157278397. The next prime is 2149157278439. The reversal of 2149157278400 is 48727519412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186324309 + ... + 2186325291.

It is an arithmetic number, because the mean of its divisors is an integer number (12071408928).

Almost surely, 2^{2149157278400} is an apocalyptic number.

2149157278400 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 2149157278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041995049856).

2149157278400 is an abundant number, since it is smaller than the sum of its proper divisors (3934832821312).

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

2149157278400 is a wasteful number, since it uses less digits than its factorization.

2149157278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 2149157278400 in words is "two trillion, one hundred forty-nine billion, one hundred fifty-seven million, two hundred seventy-eight thousand, four hundred".