2628930040 has 128 divisors (see below), whose sum is σ = 6718464000. Its totient is φ = 917056000.

The previous prime is 2628930023. The next prime is 2628930043. The reversal of 2628930040 is 400398262.

2628930040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2628930040² = 13822546310428803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2628929978 and 2628930005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628930043) 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, 2283465 + ... + 2284615.

It is an arithmetic number, because the mean of its divisors is an integer number (52488000).

Almost surely, 2^2628930040 is an apocalyptic number.

2628930040 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 2628930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359232000).

2628930040 is an abundant number, since it is smaller than the sum of its proper divisors (4089533960).

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

2628930040 is a wasteful number, since it uses less digits than its factorization.

2628930040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2628930040 is about 51273.0927485362. The cubic root of 2628930040 is about 1380.1501691935.

The spelling of 2628930040 in words is "two billion, six hundred twenty-eight million, nine hundred thirty thousand, forty".