2101780034400 has 576 divisors, whose sum is σ = 7250048467200. Its totient is φ = 528073728000.

The previous prime is 2101780034399. The next prime is 2101780034413. The reversal of 2101780034400 is 44300871012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556171711 + ... + 556175489.

It is an arithmetic number, because the mean of its divisors is an integer number (12586889700).

Almost surely, 2^{2101780034400} is an apocalyptic number.

2101780034400 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 2101780034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625024233600).

2101780034400 is an abundant number, since it is smaller than the sum of its proper divisors (5148268432800).

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

2101780034400 is a wasteful number, since it uses less digits than its factorization.

2101780034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 2101780034400 in words is "two trillion, one hundred one billion, seven hundred eighty million, thirty-four thousand, four hundred".