2629860480 has 512 divisors, whose sum is σ = 10487232000. Its totient is φ = 617988096.

The previous prime is 2629860463. The next prime is 2629860511. The reversal of 2629860480 is 840689262.

2629860480 is a `hidden beast` number, since 26 + 2 + 98 + 60 + 480 = 666.

It is a super-2 number, since 2×2629860480² = 13832332288531660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5166466 + ... + 5166974.

It is an arithmetic number, because the mean of its divisors is an integer number (20482875).

Almost surely, 2^2629860480 is an apocalyptic number.

2629860480 is a gapful number since it is divisible by the number (20) 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 2629860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243616000).

2629860480 is an abundant number, since it is smaller than the sum of its proper divisors (7857371520).

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

2629860480 is a wasteful number, since it uses less digits than its factorization.

2629860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2629860480 is about 51282.1653208988. The cubic root of 2629860480 is about 1380.3129724933.

The spelling of 2629860480 in words is "two billion, six hundred twenty-nine million, eight hundred sixty thousand, four hundred eighty".