2311068672 has 440 divisors, whose sum is σ = 8025058800. Its totient is φ = 654704640.

The previous prime is 2311068647. The next prime is 2311068709. The reversal of 2311068672 is 2768601132.

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 39 ways as a sum of consecutive naturals, for example, 15510454 + ... + 15510602.

It is an arithmetic number, because the mean of its divisors is an integer number (18238770).

Almost surely, 2^2311068672 is an apocalyptic number.

2311068672 is a gapful number since it is divisible by the number (22) 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 2311068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012529400).

2311068672 is an abundant number, since it is smaller than the sum of its proper divisors (5713990128).

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

2311068672 is a wasteful number, since it uses less digits than its factorization.

2311068672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2311068672 is about 48073.5756107240. The cubic root of 2311068672 is about 1322.1202289563.

It can be divided in two parts, 231106 and 8672, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 2311068672 in words is "two billion, three hundred eleven million, sixty-eight thousand, six hundred seventy-two".