2081172600 has 576 divisors, whose sum is σ = 8232806400. Its totient is φ = 466560000.

The previous prime is 2081172557. The next prime is 2081172629. The reversal of 2081172600 is 62711802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13782525 + ... + 13782675.

Almost surely, 2^2081172600 is an apocalyptic number.

2081172600 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 2081172600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116403200).

2081172600 is an abundant number, since it is smaller than the sum of its proper divisors (6151633800).

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

2081172600 is a wasteful number, since it uses less digits than its factorization.

2081172600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2081172600 is about 45619.8706705751. The cubic root of 2081172600 is about 1276.7406904960.

The spelling of 2081172600 in words is "two billion, eighty-one million, one hundred seventy-two thousand, six hundred".