2472896790 has 384 divisors, whose sum is σ = 8400817152. Its totient is φ = 509483520.

The previous prime is 2472896743. The next prime is 2472896809. The reversal of 2472896790 is 976982742.

2472896790 is a `hidden beast` number, since 2 + 472 + 89 + 6 + 7 + 90 = 666.

It is a super-2 number, since 2×2472896790² = 12230437067984608200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11719785 + ... + 11719995.

It is an arithmetic number, because the mean of its divisors is an integer number (21877128).

Almost surely, 2^2472896790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472896790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200408576).

2472896790 is an abundant number, since it is smaller than the sum of its proper divisors (5927920362).

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

2472896790 is a wasteful number, since it uses less digits than its factorization.

2472896790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2472896790 is about 49728.2293069037. The cubic root of 2472896790 is about 1352.2863478980.

The spelling of 2472896790 in words is "two billion, four hundred seventy-two million, eight hundred ninety-six thousand, seven hundred ninety".