2626420500 has 288 divisors, whose sum is σ = 9148583808. Its totient is φ = 628992000.

The previous prime is 2626420493. The next prime is 2626420513. The reversal of 2626420500 is 50246262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4801227 + ... + 4801773.

It is an arithmetic number, because the mean of its divisors is an integer number (31765916).

Almost surely, 2^2626420500 is an apocalyptic number.

2626420500 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 2626420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574291904).

2626420500 is an abundant number, since it is smaller than the sum of its proper divisors (6522163308).

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

2626420500 is a wasteful number, since it uses less digits than its factorization.

2626420500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2626420500 is about 51248.6146154216. The cubic root of 2626420500 is about 1379.7108720053.

Adding to 2626420500 its reverse (50246262), we get a palindrome (2676666762).

It can be divided in two parts, 26264 and 20500, that added together give a palindrome (46764).

The spelling of 2626420500 in words is "two billion, six hundred twenty-six million, four hundred twenty thousand, five hundred".