2013024022400 has 48 divisors (see below), whose sum is σ = 4972798413240. Its totient is φ = 805209607680.

The previous prime is 2013024022357. The next prime is 2013024022433. The reversal of 2013024022400 is 42204203102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 314531804 + ... + 314538203.

Almost surely, 2^{2013024022400} is an apocalyptic number.

2013024022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013024022400 is an abundant number, since it is smaller than the sum of its proper divisors (2959774390840).

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

2013024022400 is an equidigital number, since it uses as much as digits as its factorization.

2013024022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629070031 (or 629070014 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2013024022400 its reverse (42204203102), we get a palindrome (2055228225502).

The spelling of 2013024022400 in words is "two trillion, thirteen billion, twenty-four million, twenty-two thousand, four hundred".