2627738260900 has 81 divisors (see below), whose sum is σ = 5827786309219. Its totient is φ = 1028433304960.

The previous prime is 2627738260883. The next prime is 2627738260919. The reversal of 2627738260900 is 90628377262.

The square root of 2627738260900 is 1621030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1496272061284 + 1131466199616 = 1223222^2 + 1063704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 761882376 + ... + 761885824.

Almost surely, 2^{2627738260900} is an apocalyptic number.

2627738260900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2627738260900 is the 1621030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627738260900

2627738260900 is an abundant number, since it is smaller than the sum of its proper divisors (3200048048319).

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

2627738260900 is an frugal number, since it uses more digits than its factorization.

2627738260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 2627738260900 in words is "two trillion, six hundred twenty-seven billion, seven hundred thirty-eight million, two hundred sixty thousand, nine hundred".