1901653248 has 144 divisors (see below), whose sum is σ = 5761921536. Its totient is φ = 551147520.

The previous prime is 1901653231. The next prime is 1901653289. The reversal of 1901653248 is 8423561091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189411 + ... + 199197.

It is an arithmetic number, because the mean of its divisors is an integer number (40013344).

Almost surely, 2^1901653248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880960768).

1901653248 is an abundant number, since it is smaller than the sum of its proper divisors (3860268288).

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

1901653248 is a wasteful number, since it uses less digits than its factorization.

1901653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 9826 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1901653248 is about 43607.9493670592. The cubic root of 1901653248 is about 1238.9214624501.

The spelling of 1901653248 in words is "one billion, nine hundred one million, six hundred fifty-three thousand, two hundred forty-eight".