2467872792 has 128 divisors (see below), whose sum is σ = 8546803200. Its totient is φ = 641001600.

The previous prime is 2467872767. The next prime is 2467872793. The reversal of 2467872792 is 2972787642.

It is a happy number.

It is a super-2 number, since 2×2467872792² = 12180792234987750528, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467872793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57559 + ... + 90822.

It is an arithmetic number, because the mean of its divisors is an integer number (66771900).

Almost surely, 2^2467872792 is an apocalyptic number.

2467872792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2467872792 is an abundant number, since it is smaller than the sum of its proper divisors (6078930408).

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

2467872792 is a wasteful number, since it uses less digits than its factorization.

2467872792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148414 (or 148404 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 2467872792 is about 49677.6890766871. The cubic root of 2467872792 is about 1351.3699476114.

The spelling of 2467872792 in words is "two billion, four hundred sixty-seven million, eight hundred seventy-two thousand, seven hundred ninety-two".