2138204950704 has 640 divisors, whose sum is σ = 6596347648000. Its totient is φ = 670448959488.

The previous prime is 2138204950691. The next prime is 2138204950727. The reversal of 2138204950704 is 4070594028312.

2138204950704 is a `hidden beast` number, since 2 + 13 + 82 + 0 + 495 + 0 + 70 + 4 = 666.

It is a super-2 number, since 2×2138204950704² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2138204950704.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10744748397 + ... + 10744748595.

It is an arithmetic number, because the mean of its divisors is an integer number (10306793200).

Almost surely, 2^{2138204950704} is an apocalyptic number.

2138204950704 is a gapful number since it is divisible by the number (24) 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 2138204950704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298173824000).

2138204950704 is an abundant number, since it is smaller than the sum of its proper divisors (4458142697296).

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

2138204950704 is a wasteful number, since it uses less digits than its factorization.

2138204950704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2138204950704 in words is "two trillion, one hundred thirty-eight billion, two hundred four million, nine hundred fifty thousand, seven hundred four".