2435441148100 has 27 divisors (see below), whose sum is σ = 5284941156397. Its totient is φ = 974170216880.

The previous prime is 2435441148089. The next prime is 2435441148149. The reversal of 2435441148100 is 18411445342.

The square root of 2435441148100 is 1560590.

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

It can be written as a sum of positive squares in only one way, i.e., 876758813316 + 1558682334784 = 936354^2 + 1248472^2 .

It is a super-3 number, since 3×2435441148100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2435441148100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15527871 + ... + 15683929.

Almost surely, 2^{2435441148100} is an apocalyptic number.

2435441148100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2435441148100 is the 1560590-th square number.

It is an amenable number.

2435441148100 is an abundant number, since it is smaller than the sum of its proper divisors (2849500008297).

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

2435441148100 is an frugal number, since it uses more digits than its factorization.

2435441148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312132 (or 156066 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 2435441148100 in words is "two trillion, four hundred thirty-five billion, four hundred forty-one million, one hundred forty-eight thousand, one hundred".