2478292992 has 270 divisors, whose sum is σ = 8352439368. Its totient is φ = 708083712.

The previous prime is 2478292979. The next prime is 2478293017. The reversal of 2478292992 is 2992928742.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×2478292992² = 12283872308392624128, which contains 22 as substring.

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

Its product of digits (2612736) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 354041853 + ... + 354041859.

Almost surely, 2^2478292992 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 2478292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176219684).

2478292992 is an abundant number, since it is smaller than the sum of its proper divisors (5874146376).

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

2478292992 is an frugal number, since it uses more digits than its factorization.

2478292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2478292992 is about 49782.4566689913. The cubic root of 2478292992 is about 1353.2692584276.

Multiplying 2478292992 by its sum of digits (54), we get a 5-th power (133827821568 = 168⁵).

The spelling of 2478292992 in words is "two billion, four hundred seventy-eight million, two hundred ninety-two thousand, nine hundred ninety-two".