2453962900 has 72 divisors (see below), whose sum is σ = 5434824024. Its totient is φ = 961497600.

The previous prime is 2453962867. The next prime is 2453962921. The reversal of 2453962900 is 92693542.

It can be written as a sum of positive squares in 12 ways, for example, as 119333776 + 2334629124 = 10924^2 + 48318^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786614 + ... + 1787986.

It is an arithmetic number, because the mean of its divisors is an integer number (75483667).

Almost surely, 2^2453962900 is an apocalyptic number.

2453962900 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 2453962900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717412012).

2453962900 is an abundant number, since it is smaller than the sum of its proper divisors (2980861124).

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

2453962900 is a wasteful number, since it uses less digits than its factorization.

2453962900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 2453962900 is about 49537.4898435518. The cubic root of 2453962900 is about 1348.8262133751.

The spelling of 2453962900 in words is "two billion, four hundred fifty-three million, nine hundred sixty-two thousand, nine hundred".