2139784153920 has 1680 divisors, whose sum is σ = 9277173459840. Its totient is φ = 458252992512.

The previous prime is 2139784153901. The next prime is 2139784153931. The reversal of 2139784153920 is 293514879312.

2139784153920 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 7 + 84 + 1 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5645868291 + ... + 5645868669.

Almost surely, 2^{2139784153920} is an apocalyptic number.

2139784153920 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 2139784153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638586729920).

2139784153920 is an abundant number, since it is smaller than the sum of its proper divisors (7137389305920).

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

2139784153920 is a wasteful number, since it uses less digits than its factorization.

2139784153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2139784153920 in words is "two trillion, one hundred thirty-nine billion, seven hundred eighty-four million, one hundred fifty-three thousand, nine hundred twenty".