2472768 has 98 divisors (see below), whose sum is σ = 7495794. Its totient is φ = 808704.

The previous prime is 2472737. The next prime is 2472781. The reversal of 2472768 is 8672742.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 186624 = 1512^2 + 432^2 .

It is a super-2 number, since 2×2472768² = 12229163163648, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46630 + ... + 46682.

2^2472768 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 2472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747897).

2472768 is an abundant number, since it is smaller than the sum of its proper divisors (5023026).

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

2472768 is an frugal number, since it uses more digits than its factorization.

2472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2472768 is about 1572.5037360846. The cubic root of 2472768 is about 135.2262871520.

It can be divided in two parts, 2472 and 768, that added together give a triangular number (3240 = T₈₀).

The spelling of 2472768 in words is "two million, four hundred seventy-two thousand, seven hundred sixty-eight".