2353248040900 has 81 divisors (see below), whose sum is σ = 5141234925799. Its totient is φ = 934948332160.

The previous prime is 2353248040877. The next prime is 2353248040903. The reversal of 2353248040900 is 90408423532.

The square root of 2353248040900 is 1534030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 306723238276 + 2046524802624 = 553826^2 + 1430568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2353248040903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2745913272 + ... + 2745914128.

Almost surely, 2^{2353248040900} is an apocalyptic number.

2353248040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2353248040900 is the 1534030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353248040900

2353248040900 is an abundant number, since it is smaller than the sum of its proper divisors (2787986884899).

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

2353248040900 is an frugal number, since it uses more digits than its factorization.

2353248040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2353248040900 in words is "two trillion, three hundred fifty-three billion, two hundred forty-eight million, forty thousand, nine hundred".