2495735424 has 576 divisors, whose sum is σ = 9523332000. Its totient is φ = 620089344.

The previous prime is 2495735393. The next prime is 2495735441. The reversal of 2495735424 is 4245375942.

2495735424 is a `hidden beast` number, since 2 + 4 + 9 + 573 + 54 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 2495735424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13942567 + ... + 13942745.

Almost surely, 2^2495735424 is an apocalyptic number.

2495735424 is a gapful number since it is divisible by the number (24) 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 2495735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761666000).

2495735424 is an abundant number, since it is smaller than the sum of its proper divisors (7027596576).

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

2495735424 is a wasteful number, since it uses less digits than its factorization.

2495735424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2495735424 is about 49957.3360378633. The cubic root of 2495735424 is about 1356.4366463903.

The spelling of 2495735424 in words is "two billion, four hundred ninety-five million, seven hundred thirty-five thousand, four hundred twenty-four".