2430782417272 has 64 divisors (see below), whose sum is σ = 5293615148640. Its totient is φ = 1034161459200.

The previous prime is 2430782417269. The next prime is 2430782417299. The reversal of 2430782417272 is 2727142870342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4217773 + ... + 4759324.

Almost surely, 2^{2430782417272} is an apocalyptic number.

2430782417272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2430782417272 is an abundant number, since it is smaller than the sum of its proper divisors (2862832731368).

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

2430782417272 is a wasteful number, since it uses less digits than its factorization.

2430782417272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977312 (or 8977308 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 49.

The spelling of 2430782417272 in words is "two trillion, four hundred thirty billion, seven hundred eighty-two million, four hundred seventeen thousand, two hundred seventy-two".