2490509025 has 45 divisors (see below), whose sum is σ = 4617447241. Its totient is φ = 1327073760.

The previous prime is 2490508981. The next prime is 2490509033. The reversal of 2490509025 is 5209050942.

It is a happy number.

The square root of 2490509025 is 49905.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1281138849 + 1209370176 = 35793^2 + 34776^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2490509025 - 2⁹ = 2490508513 is a prime.

It is a super-4 number, since 4×2490509025⁴ (a number of 39 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2245171 + ... + 2246279.

Almost surely, 2^2490509025 is an apocalyptic number.

2490509025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2490509025 is the 49905-th square number.

2490509025 is the 24953-rd centered octagonal number.

It is an amenable number.

2490509025 is a deficient number, since it is larger than the sum of its proper divisors (2126938216).

2490509025 is an frugal number, since it uses more digits than its factorization.

2490509025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 2490509025 is about 1355.4891322885.

Multiplying 2490509025 by its sum of digits (36), we get a square (89658324900 = 299430²).

Multiplying 2490509025 by its product of nonzero digits (32400), we get a square (80692492410000 = 8982900²).

Adding to 2490509025 its reverse (5209050942), we get a palindrome (7699559967).

The spelling of 2490509025 in words is "two billion, four hundred ninety million, five hundred nine thousand, twenty-five".