2467742519025 has 135 divisors (see below), whose sum is σ = 5318482692699. Its totient is φ = 1127884655520.

The previous prime is 2467742519003. The next prime is 2467742519041. The reversal of 2467742519025 is 5209152477642.

It is a happy number.

The square root of 2467742519025 is 1570905.

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

2467742519025 is a `hidden beast` number, since 2 + 4 + 6 + 7 + 7 + 425 + 190 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 888387306849 + 1579355212176 = 942543^2 + 1256724^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2467742519025 - 2¹³ = 2467742510833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 494832582 + ... + 494837568.

Almost surely, 2^{2467742519025} is an apocalyptic number.

2467742519025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2467742519025 is the 1570905-th square number.

2467742519025 is the 785453-rd centered octagonal number.

It is an amenable number.

2467742519025 is an abundant number, since it is smaller than the sum of its proper divisors (2850740173674).

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

2467742519025 is an frugal number, since it uses more digits than its factorization.

2467742519025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2467742519025 in words is "two trillion, four hundred sixty-seven billion, seven hundred forty-two million, five hundred nineteen thousand, twenty-five".