2140075382400 has 1536 divisors, whose sum is σ = 8689297420800. Its totient is φ = 512049807360.

The previous prime is 2140075382369. The next prime is 2140075382407. The reversal of 2140075382400 is 42835700412.

It is a happy number.

2140075382400 is a `hidden beast` number, since 2 + 1 + 400 + 7 + 5 + 3 + 8 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2140075382407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2880316429 + ... + 2880317171.

It is an arithmetic number, because the mean of its divisors is an integer number (5657094675).

Almost surely, 2^{2140075382400} is an apocalyptic number.

2140075382400 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 2140075382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344648710400).

2140075382400 is an abundant number, since it is smaller than the sum of its proper divisors (6549222038400).

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

2140075382400 is a wasteful number, since it uses less digits than its factorization.

2140075382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2140075382400 in words is "two trillion, one hundred forty billion, seventy-five million, three hundred eighty-two thousand, four hundred".