2434032480 has 96 divisors (see below), whose sum is σ = 8364238848. Its totient is φ = 590067200.

The previous prime is 2434032463. The next prime is 2434032493. The reversal of 2434032480 is 842304342.

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

It is a super-2 number, since 2×2434032480² = 11849028227389900800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 225216 + ... + 235775.

It is an arithmetic number, because the mean of its divisors is an integer number (87127488).

Almost surely, 2^2434032480 is an apocalyptic number.

2434032480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434032480 is an abundant number, since it is smaller than the sum of its proper divisors (5930206368).

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

2434032480 is a wasteful number, since it uses less digits than its factorization.

2434032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461020 (or 461012 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2434032480 is about 49335.9147072394. The cubic root of 2434032480 is about 1345.1646827370.

The spelling of 2434032480 in words is "two billion, four hundred thirty-four million, thirty-two thousand, four hundred eighty".