2302005972 has 96 divisors (see below), whose sum is σ = 6527727360. Its totient is φ = 616366080.

The previous prime is 2302005961. The next prime is 2302006001. The reversal of 2302005972 is 2795002032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340804 + ... + 347492.

It is an arithmetic number, because the mean of its divisors is an integer number (67997160).

Almost surely, 2^2302005972 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 2302005972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263863680).

2302005972 is an abundant number, since it is smaller than the sum of its proper divisors (4225721388).

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

2302005972 is a wasteful number, since it uses less digits than its factorization.

2302005972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2302005972 is about 47979.2243788913. The cubic root of 2302005972 is about 1320.3897632300.

The spelling of 2302005972 in words is "two billion, three hundred two million, five thousand, nine hundred seventy-two".