2725742600 has 144 divisors (see below), whose sum is σ = 7806146580. Its totient is φ = 879513600.

The previous prime is 2725742599. The next prime is 2725742623. The reversal of 2725742600 is 62475272.

It can be written as a sum of positive squares in 6 ways, for example, as 1214243716 + 1511498884 = 34846^2 + 38878^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158420 + ... + 174780.

Almost surely, 2^2725742600 is an apocalyptic number.

2725742600 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 2725742600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903073290).

2725742600 is an abundant number, since it is smaller than the sum of its proper divisors (5080403980).

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

2725742600 is a wasteful number, since it uses less digits than its factorization.

2725742600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16408 (or 16392 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 2725742600 is about 52208.6448780276. The cubic root of 2725742600 is about 1396.8880879848. Note that the first 3 decimals are identical.

The spelling of 2725742600 in words is "two billion, seven hundred twenty-five million, seven hundred forty-two thousand, six hundred".