2139245222400 has 2880 divisors, whose sum is σ = 9574667182080. Its totient is φ = 449003520000.

The previous prime is 2139245222383. The next prime is 2139245222519. The reversal of 2139245222400 is 42225429312.

2139245222400 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 24 + 5 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×2139245222400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30130214365 + ... + 30130214435.

It is an arithmetic number, because the mean of its divisors is an integer number (3324537216).

Almost surely, 2^{2139245222400} is an apocalyptic number.

2139245222400 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 2139245222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787333591040).

2139245222400 is an abundant number, since it is smaller than the sum of its proper divisors (7435421959680).

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

2139245222400 is a wasteful number, since it uses less digits than its factorization.

2139245222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2139245222400 in words is "two trillion, one hundred thirty-nine billion, two hundred forty-five million, two hundred twenty-two thousand, four hundred".