2101738838400 has 768 divisors, whose sum is σ = 8113439040000. Its totient is φ = 529862860800.

The previous prime is 2101738838399. The next prime is 2101738838417. The reversal of 2101738838400 is 48388371012.

2101738838400 is a `hidden beast` number, since 21 + 0 + 173 + 88 + 384 + 0 + 0 = 666.

It is a super-2 number, since 2×2101738838400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035848586 + ... + 1035850614.

It is an arithmetic number, because the mean of its divisors is an integer number (10564373750).

Almost surely, 2^{2101738838400} is an apocalyptic number.

2101738838400 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 2101738838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056719520000).

2101738838400 is an abundant number, since it is smaller than the sum of its proper divisors (6011700201600).

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

2101738838400 is a wasteful number, since it uses less digits than its factorization.

2101738838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2101738838400 in words is "two trillion, one hundred one billion, seven hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred".