2629628120 has 192 divisors, whose sum is σ = 7299784800. Its totient is φ = 847687680.

The previous prime is 2629628117. The next prime is 2629628123. The reversal of 2629628120 is 218269262.

It is an interprime number because it is at equal distance from previous prime (2629628117) and next prime (2629628123).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629628123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8974694 + ... + 8974986.

Almost surely, 2^2629628120 is an apocalyptic number.

2629628120 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 2629628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649892400).

2629628120 is an abundant number, since it is smaller than the sum of its proper divisors (4670156680).

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

2629628120 is a wasteful number, since it uses less digits than its factorization.

2629628120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2629628120 is about 51279.8997658927. The cubic root of 2629628120 is about 1380.2723190099.

The spelling of 2629628120 in words is "two billion, six hundred twenty-nine million, six hundred twenty-eight thousand, one hundred twenty".