2638628500 has 24 divisors (see below), whose sum is σ = 5762765736. Its totient is φ = 1055451200.

The previous prime is 2638628491. The next prime is 2638628533. The reversal of 2638628500 is 58268362.

It can be written as a sum of positive squares in 4 ways, for example, as 359329936 + 2279298564 = 18956^2 + 47742^2 .

It is a super-2 number, since 2×2638628500² = 13924720722024500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2638129 + ... + 2639128.

It is an arithmetic number, because the mean of its divisors is an integer number (240115239).

Almost surely, 2^2638628500 is an apocalyptic number.

2638628500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638628500 is an abundant number, since it is smaller than the sum of its proper divisors (3124137236).

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

2638628500 is a wasteful number, since it uses less digits than its factorization.

2638628500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277276 (or 5277264 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 2638628500 is about 51367.5821895483. The cubic root of 2638628500 is about 1381.8452700636.

The spelling of 2638628500 in words is "two billion, six hundred thirty-eight million, six hundred twenty-eight thousand, five hundred".