2464630272 has 120 divisors (see below), whose sum is σ = 7660436784. Its totient is φ = 758329344.

The previous prime is 2464630271. The next prime is 2464630331. The reversal of 2464630272 is 2720364642.

2464630272 is a `hidden beast` number, since 2 + 4 + 646 + 3 + 0 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464630271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39333 + ... + 80475.

Almost surely, 2^2464630272 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 2464630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830218392).

2464630272 is an abundant number, since it is smaller than the sum of its proper divisors (5195806512).

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

2464630272 is a wasteful number, since it uses less digits than its factorization.

2464630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41180 (or 41161 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2464630272 is about 49645.0427736748. The cubic root of 2464630272 is about 1350.7778365175. Note that the first 3 decimals are identical.

The spelling of 2464630272 in words is "two billion, four hundred sixty-four million, six hundred thirty thousand, two hundred seventy-two".