2534416240225 has 27 divisors (see below), whose sum is σ = 3161112372691. Its totient is φ = 2015707727600.

The previous prime is 2534416240121. The next prime is 2534416240231. The reversal of 2534416240225 is 5220426144352.

The square root of 2534416240225 is 1591985.

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

It can be written as a sum of positive squares in only one way, i.e., 912389846481 + 1622026393744 = 955191^2 + 1273588^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2534416240225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1520344842 + ... + 1520346508.

Almost surely, 2^{2534416240225} is an apocalyptic number.

2534416240225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2534416240225 is the 1591985-th square number.

2534416240225 is the 795993-rd centered octagonal number.

It is an amenable number.

2534416240225 is a deficient number, since it is larger than the sum of its proper divisors (626696132466).

2534416240225 is an frugal number, since it uses more digits than its factorization.

2534416240225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 2534416240225 in words is "two trillion, five hundred thirty-four billion, four hundred sixteen million, two hundred forty thousand, two hundred twenty-five".