2632509000 has 192 divisors, whose sum is σ = 9707143680. Its totient is φ = 638160000.

The previous prime is 2632508987. The next prime is 2632509013. The reversal of 2632509000 is 9052362.

It is an interprime number because it is at equal distance from previous prime (2632508987) and next prime (2632509013).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85705 + ... + 112295.

It is an arithmetic number, because the mean of its divisors is an integer number (50558040).

Almost surely, 2^2632509000 is an apocalyptic number.

2632509000 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 2632509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853571840).

2632509000 is an abundant number, since it is smaller than the sum of its proper divisors (7074634680).

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

2632509000 is a wasteful number, since it uses less digits than its factorization.

2632509000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26629 (or 26612 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2632509000 is about 51307.9818351882. The cubic root of 2632509000 is about 1380.7761859079.

The spelling of 2632509000 in words is "two billion, six hundred thirty-two million, five hundred nine thousand".