2417387492025 has 243 divisors, whose sum is σ = 4956208786893. Its totient is φ = 1168708305600.

The previous prime is 2417387492011. The next prime is 2417387492053. The reversal of 2417387492025 is 5202947837142.

The square root of 2417387492025 is 1554795.

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

2417387492025 is a `hidden beast` number, since 2 + 4 + 1 + 73 + 87 + 492 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24871497849 + 2392515994176 = 157707^2 + 1546776^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 2417387492025 - 2¹¹ = 2417387489977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6926611551 + ... + 6926611899.

Almost surely, 2^{2417387492025} is an apocalyptic number.

2417387492025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2417387492025 is the 1554795-th square number.

2417387492025 is the 777398-th centered octagonal number.

It is an amenable number.

2417387492025 is an abundant number, since it is smaller than the sum of its proper divisors (2538821294868).

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

2417387492025 is an frugal number, since it uses more digits than its factorization.

2417387492025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2417387492025 in words is "two trillion, four hundred seventeen billion, three hundred eighty-seven million, four hundred ninety-two thousand, twenty-five".