2139549798400 has 351 divisors, whose sum is σ = 6181095049311. Its totient is φ = 732436561920.

The previous prime is 2139549798389. The next prime is 2139549798467. The reversal of 2139549798400 is 48979459312.

The square root of 2139549798400 is 1462720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 361999568896 + 1777550229504 = 601664^2 + 1333248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3276492474 + ... + 3276493126.

Almost surely, 2^{2139549798400} is an apocalyptic number.

2139549798400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2139549798400 is the 1462720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139549798400

2139549798400 is an abundant number, since it is smaller than the sum of its proper divisors (4041545250911).

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

2139549798400 is an frugal number, since it uses more digits than its factorization.

2139549798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 2139549798400 in words is "two trillion, one hundred thirty-nine billion, five hundred forty-nine million, seven hundred ninety-eight thousand, four hundred".