2509805898 has 80 divisors (see below), whose sum is σ = 5795919360. Its totient is φ = 811252800.

The previous prime is 2509805873. The next prime is 2509805917. The reversal of 2509805898 is 8985089052.

2509805898 is a `hidden beast` number, since 2 + 50 + 9 + 8 + 0 + 589 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1187863 + ... + 1189973.

It is an arithmetic number, because the mean of its divisors is an integer number (72448992).

Almost surely, 2^2509805898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509805898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897959680).

2509805898 is an abundant number, since it is smaller than the sum of its proper divisors (3286113462).

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

2509805898 is a wasteful number, since it uses less digits than its factorization.

2509805898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 2509805898 is about 50097.9630124819. The cubic root of 2509805898 is about 1358.9809801002.

The spelling of 2509805898 in words is "two billion, five hundred nine million, eight hundred five thousand, eight hundred ninety-eight".