2430772320 has 96 divisors (see below), whose sum is σ = 7819918848. Its totient is φ = 634408448.

The previous prime is 2430772307. The next prime is 2430772321. The reversal of 2430772320 is 232770342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430772321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31314 + ... + 76433.

It is an arithmetic number, because the mean of its divisors is an integer number (81457488).

Almost surely, 2^2430772320 is an apocalyptic number.

2430772320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430772320 is an abundant number, since it is smaller than the sum of its proper divisors (5389146528).

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

2430772320 is a wasteful number, since it uses less digits than its factorization.

2430772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107812 (or 107804 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 2430772320 is about 49302.8632028607. The cubic root of 2430772320 is about 1344.5638400949.

The spelling of 2430772320 in words is "two billion, four hundred thirty million, seven hundred seventy-two thousand, three hundred twenty".