2725945600 has 216 divisors, whose sum is σ = 7828748928. Its totient is φ = 920371200.

The previous prime is 2725945583. The next prime is 2725945657. The reversal of 2725945600 is 65495272.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180372 + ... + 3181228.

It is an arithmetic number, because the mean of its divisors is an integer number (36244208).

Almost surely, 2^2725945600 is an apocalyptic number.

2725945600 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 2725945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914374464).

2725945600 is an abundant number, since it is smaller than the sum of its proper divisors (5102803328).

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

2725945600 is an equidigital number, since it uses as much as digits as its factorization.

2725945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 2725945600 is about 52210.5889643088. The cubic root of 2725945600 is about 1396.9227649254.

The spelling of 2725945600 in words is "two billion, seven hundred twenty-five million, nine hundred forty-five thousand, six hundred".