2430072 has 24 divisors (see below), whose sum is σ = 6581640. Its totient is φ = 810000.

The previous prime is 2430061. The next prime is 2430073. The reversal of 2430072 is 2700342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16804 + ... + 16947.

It is an arithmetic number, because the mean of its divisors is an integer number (274235).

2^2430072 is an apocalyptic number.

It is an amenable number.

2430072 is an abundant number, since it is smaller than the sum of its proper divisors (4151568).

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

2430072 is a wasteful number, since it uses less digits than its factorization.

2430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33763 (or 33756 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2430072 is about 1558.8688206517. The cubic root of 2430072 is about 134.4434702072.

The spelling of 2430072 in words is "two million, four hundred thirty thousand, seventy-two".