2472743560 has 64 divisors (see below), whose sum is σ = 6363100800. Its totient is φ = 847182336.

The previous prime is 2472743521. The next prime is 2472743561. The reversal of 2472743560 is 653472742.

It is a happy number.

It is a super-2 number, since 2×2472743560² = 12228921427042947200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2472743561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558636 + ... + 563044.

It is an arithmetic number, because the mean of its divisors is an integer number (99423450).

Almost surely, 2^2472743560 is an apocalyptic number.

2472743560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2472743560 is an abundant number, since it is smaller than the sum of its proper divisors (3890357240).

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

2472743560 is a wasteful number, since it uses less digits than its factorization.

2472743560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The square root of 2472743560 is about 49726.6886088346. The cubic root of 2472743560 is about 1352.2584164024.

The spelling of 2472743560 in words is "two billion, four hundred seventy-two million, seven hundred forty-three thousand, five hundred sixty".