2013901600 has 144 divisors (see below), whose sum is σ = 5232743208. Its totient is φ = 754237440.

The previous prime is 2013901567. The next prime is 2013901633. The reversal of 2013901600 is 61093102.

It is an interprime number because it is at equal distance from previous prime (2013901567) and next prime (2013901633).

It can be written as a sum of positive squares in 12 ways, for example, as 475065616 + 1538835984 = 21796^2 + 39228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5072602 + ... + 5072998.

Almost surely, 2^2013901600 is an apocalyptic number.

2013901600 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 2013901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616371604).

2013901600 is an abundant number, since it is smaller than the sum of its proper divisors (3218841608).

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

2013901600 is a wasteful number, since it uses less digits than its factorization.

2013901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2013901600 is about 44876.5150162086. The cubic root of 2013901600 is about 1262.8334654868.

Adding to 2013901600 its reverse (61093102), we get a palindrome (2074994702).

The spelling of 2013901600 in words is "two billion, thirteen million, nine hundred one thousand, six hundred".