2013249700 has 144 divisors (see below), whose sum is σ = 5563643904. Its totient is φ = 614044800.

The previous prime is 2013249683. The next prime is 2013249757. The reversal of 2013249700 is 79423102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359119 + ... + 364681.

It is an arithmetic number, because the mean of its divisors is an integer number (38636416).

Almost surely, 2^2013249700 is an apocalyptic number.

2013249700 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 2013249700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781821952).

2013249700 is an abundant number, since it is smaller than the sum of its proper divisors (3550394204).

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

2013249700 is a wasteful number, since it uses less digits than its factorization.

2013249700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2013249700 is about 44869.2511637981. The cubic root of 2013249700 is about 1262.6971910399.

The spelling of 2013249700 in words is "two billion, thirteen million, two hundred forty-nine thousand, seven hundred".