2479767552 has 180 divisors, whose sum is σ = 7299439056. Its totient is φ = 811008000.

The previous prime is 2479767529. The next prime is 2479767553. The reversal of 2479767552 is 2557679742.

It is a happy number.

2479767552 is a `hidden beast` number, since 24 + 7 + 9 + 7 + 67 + 552 = 666.

It is a super-2 number, since 2×2479767552² = 12298494223904145408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479767553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9879427 + ... + 9879677.

Almost surely, 2^2479767552 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 2479767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649719528).

2479767552 is an abundant number, since it is smaller than the sum of its proper divisors (4819671504).

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

2479767552 is an equidigital number, since it uses as much as digits as its factorization.

2479767552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 2479767552 is about 49797.2645031833. The cubic root of 2479767552 is about 1353.5375991890.

The spelling of 2479767552 in words is "two billion, four hundred seventy-nine million, seven hundred sixty-seven thousand, five hundred fifty-two".