2631690000 has 525 divisors, whose sum is σ = 10082259363. Its totient is φ = 664848000.

The previous prime is 2631689993. The next prime is 2631690007. The reversal of 2631690000 is 961362.

It is a happy number.

The square root of 2631690000 is 51300.

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

It is an interprime number because it is at equal distance from previous prime (2631689993) and next prime (2631690007).

It can be written as a sum of positive squares in 2 ways, for example, as 206324496 + 2425365504 = 14364^2 + 49248^2 .

It is a super-2 number, since 2×2631690000² = 13851584512200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2631690007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 138509991 + ... + 138510009.

Almost surely, 2^2631690000 is an apocalyptic number.

2631690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2631690000 is the 51300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631690000

2631690000 is an abundant number, since it is smaller than the sum of its proper divisors (7450569363).

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

2631690000 is an frugal number, since it uses more digits than its factorization.

2631690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 2631690000 is about 1380.6329799410.

The spelling of 2631690000 in words is "two billion, six hundred thirty-one million, six hundred ninety thousand".