2544742800625 has 15 divisors (see below), whose sum is σ = 3179960439271. Its totient is φ = 2035762336000.

The previous prime is 2544742800583. The next prime is 2544742800701. The reversal of 2544742800625 is 5260082474452.

The square root of 2544742800625 is 1595225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2433122663409 + 111620137216 = 1559847^2 + 334096^2 .

It is not a de Polignac number, because 2544742800625 - 2⁷ = 2544742800497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 39848721 + ... + 39912529.

Almost surely, 2^{2544742800625} is an apocalyptic number.

2544742800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2544742800625 is the 1595225-th square number.

2544742800625 is the 797613-rd centered octagonal number.

It is an amenable number.

2544742800625 is a deficient number, since it is larger than the sum of its proper divisors (635217638646).

2544742800625 is an frugal number, since it uses more digits than its factorization.

2544742800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127638 (or 63814 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 49.

Multiplying 2544742800625 by its sum of digits (49), we get a square (124692397230625 = 11166575²).

The spelling of 2544742800625 in words is "two trillion, five hundred forty-four billion, seven hundred forty-two million, eight hundred thousand, six hundred twenty-five".