2472568 has 32 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 1042272.

The previous prime is 2472559. The next prime is 2472577. The reversal of 2472568 is 8652742.

It is an interprime number because it is at equal distance from previous prime (2472559) and next prime (2472577).

It is a super-2 number, since 2×2472568² = 12227185029248, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 4 + 7⁵ + 2²¹ + 5⁷ + 6⁷ + 8³ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3423 + ... + 4081.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

2^2472568 is an apocalyptic number.

2472568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

2472568 is an abundant number, since it is smaller than the sum of its proper divisors (2913032).

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

2472568 is a wasteful number, since it uses less digits than its factorization.

2472568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 2472568 is about 1572.4401419450. The cubic root of 2472568 is about 135.2226413069. Note that the first 3 decimals are identical.

The spelling of 2472568 in words is "two million, four hundred seventy-two thousand, five hundred sixty-eight".