2139642003456 has 360 divisors, whose sum is σ = 6729567324480. Its totient is φ = 675612721152.

The previous prime is 2139642003451. The next prime is 2139642003481. The reversal of 2139642003456 is 6543002469312.

2139642003456 is a `hidden beast` number, since 2 + 1 + 396 + 4 + 200 + 3 + 4 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (2139642003451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201714505 + ... + 201725111.

It is an arithmetic number, because the mean of its divisors is an integer number (18693242568).

Almost surely, 2^{2139642003456} 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 2139642003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364783662240).

2139642003456 is an abundant number, since it is smaller than the sum of its proper divisors (4589925321024).

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

2139642003456 is an frugal number, since it uses more digits than its factorization.

2139642003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2139642003456 in words is "two trillion, one hundred thirty-nine billion, six hundred forty-two million, three thousand, four hundred fifty-six".