2071963238400 has 864 divisors, whose sum is σ = 8308465099200. Its totient is φ = 502058188800.

The previous prime is 2071963238377. The next prime is 2071963238437. The reversal of 2071963238400 is 48323691702.

2071963238400 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 9 + 6 + 3 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2071963238400² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973208536 + ... + 973210664.

It is an arithmetic number, because the mean of its divisors is an integer number (9616279050).

Almost surely, 2^{2071963238400} is an apocalyptic number.

2071963238400 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 2071963238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154232549600).

2071963238400 is an abundant number, since it is smaller than the sum of its proper divisors (6236501860800).

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

2071963238400 is an equidigital number, since it uses as much as digits as its factorization.

2071963238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2071963238400 in words is "two trillion, seventy-one billion, nine hundred sixty-three million, two hundred thirty-eight thousand, four hundred".