2472656472 has 384 divisors, whose sum is σ = 8319467520. Its totient is φ = 653184000.

The previous prime is 2472656467. The next prime is 2472656479. The reversal of 2472656472 is 2746562742.

It is a happy number.

2472656472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472656472² = 12228060057046973568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472656479) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19469673 + ... + 19469799.

It is an arithmetic number, because the mean of its divisors is an integer number (21665280).

Almost surely, 2^2472656472 is an apocalyptic number.

2472656472 is a gapful number since it is divisible by the number (22) 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 2472656472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159733760).

2472656472 is an abundant number, since it is smaller than the sum of its proper divisors (5846811048).

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

2472656472 is a wasteful number, since it uses less digits than its factorization.

2472656472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2472656472 is about 49725.8129345313. The cubic root of 2472656472 is about 1352.2425410720.

The spelling of 2472656472 in words is "two billion, four hundred seventy-two million, six hundred fifty-six thousand, four hundred seventy-two".