2452093640 has 64 divisors (see below), whose sum is σ = 5881248000. Its totient is φ = 917429760.

The previous prime is 2452093607. The next prime is 2452093663. The reversal of 2452093640 is 463902542.

2452093640 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 2452093640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39620 + ... + 80460.

It is an arithmetic number, because the mean of its divisors is an integer number (91894500).

Almost surely, 2^2452093640 is an apocalyptic number.

2452093640 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 2452093640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940624000).

2452093640 is an abundant number, since it is smaller than the sum of its proper divisors (3429154360).

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

2452093640 is a wasteful number, since it uses less digits than its factorization.

2452093640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950 (or 40946 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2452093640 is about 49518.6191245273. The cubic root of 2452093640 is about 1348.4836453946.

The spelling of 2452093640 in words is "two billion, four hundred fifty-two million, ninety-three thousand, six hundred forty".