2472780384 has 72 divisors (see below), whose sum is σ = 7402089240. Its totient is φ = 780876288.

The previous prime is 2472780383. The next prime is 2472780413. The reversal of 2472780384 is 4830872742.

2472780384 is a `hidden beast` number, since 247 + 27 + 8 + 0 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2472780384² = 12229285654990374912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472780383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220477 + ... + 231420.

It is an arithmetic number, because the mean of its divisors is an integer number (102806795).

Almost surely, 2^2472780384 is an apocalyptic number.

2472780384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2472780384 is an abundant number, since it is smaller than the sum of its proper divisors (4929308856).

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

2472780384 is a wasteful number, since it uses less digits than its factorization.

2472780384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451932 (or 451921 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2472780384 is about 49727.0588714032. The cubic root of 2472780384 is about 1352.2651289622.

It can be divided in two parts, 24727 and 80384, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 2472780384 in words is "two billion, four hundred seventy-two million, seven hundred eighty thousand, three hundred eighty-four".