2409653598 has 64 divisors (see below), whose sum is σ = 5358942720. Its totient is φ = 716169600.

The previous prime is 2409653579. The next prime is 2409653629. The reversal of 2409653598 is 8953569042.

2409653598 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2409653598.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960048 + ... + 1961276.

It is an arithmetic number, because the mean of its divisors is an integer number (83733480).

Almost surely, 2^2409653598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409653598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679471360).

2409653598 is an abundant number, since it is smaller than the sum of its proper divisors (2949289122).

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

2409653598 is a wasteful number, since it uses less digits than its factorization.

2409653598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 2409653598 is about 49088.2225997234. Note that the first 3 decimals coincide. The cubic root of 2409653598 is about 1340.6586199446.

The spelling of 2409653598 in words is "two billion, four hundred nine million, six hundred fifty-three thousand, five hundred ninety-eight".