2311290072 has 256 divisors, whose sum is σ = 8039808000. Its totient is φ = 598938624.

The previous prime is 2311290071. The next prime is 2311290083. The reversal of 2311290072 is 2700921132.

2311290072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311290071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158708 + ... + 1160700.

It is an arithmetic number, because the mean of its divisors is an integer number (31405500).

Almost surely, 2^2311290072 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 2311290072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019904000).

2311290072 is an abundant number, since it is smaller than the sum of its proper divisors (5728517928).

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

2311290072 is a wasteful number, since it uses less digits than its factorization.

2311290072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2311290072 is about 48075.8782759088. The cubic root of 2311290072 is about 1322.1624472419.

The spelling of 2311290072 in words is "two billion, three hundred eleven million, two hundred ninety thousand, seventy-two".