2495030400 has 288 divisors, whose sum is σ = 9124298820. Its totient is φ = 648806400.

The previous prime is 2495030327. The next prime is 2495030423. The reversal of 2495030400 is 40305942.

It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 2494403136 = 792^2 + 49944^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1179744 + ... + 1181856.

Almost surely, 2^2495030400 is an apocalyptic number.

2495030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2495030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562149410).

2495030400 is an abundant number, since it is smaller than the sum of its proper divisors (6629268420).

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

2495030400 is a wasteful number, since it uses less digits than its factorization.

2495030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2495030400 is about 49950.2792784985. The cubic root of 2495030400 is about 1356.3089070948.

The spelling of 2495030400 in words is "two billion, four hundred ninety-five million, thirty thousand, four hundred".