2013293952 has 192 divisors, whose sum is σ = 6175128960. Its totient is φ = 627425280.

The previous prime is 2013293873. The next prime is 2013293981. The reversal of 2013293952 is 2593923102.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 4367002 + ... + 4367462.

It is an arithmetic number, because the mean of its divisors is an integer number (32162130).

Almost surely, 2^2013293952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087564480).

2013293952 is an abundant number, since it is smaller than the sum of its proper divisors (4161835008).

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

2013293952 is a wasteful number, since it uses less digits than its factorization.

2013293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2013293952 is about 44869.7442827569. The cubic root of 2013293952 is about 1262.7064424949.

The spelling of 2013293952 in words is "two billion, thirteen million, two hundred ninety-three thousand, nine hundred fifty-two".