2140204242400 has 432 divisors, whose sum is σ = 6459779516400. Its totient is φ = 687995535360.

The previous prime is 2140204242391. The next prime is 2140204242401. The reversal of 2140204242400 is 42424020412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140204242401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179255631 + ... + 179267569.

It is an arithmetic number, because the mean of its divisors is an integer number (14953193325).

Almost surely, 2^{2140204242400} is an apocalyptic number.

2140204242400 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 2140204242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229889758200).

2140204242400 is an abundant number, since it is smaller than the sum of its proper divisors (4319575274000).

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

2140204242400 is a wasteful number, since it uses less digits than its factorization.

2140204242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2140204242400 its reverse (42424020412), we get a palindrome (2182628262812).

The spelling of 2140204242400 in words is "two trillion, one hundred forty billion, two hundred four million, two hundred forty-two thousand, four hundred".