2440105420100 has 18 divisors (see below), whose sum is σ = 5295028761834. Its totient is φ = 976042168000.

The previous prime is 2440105420087. The next prime is 2440105420169. The reversal of 2440105420100 is 10245010442.

It can be written as a sum of positive squares in 3 ways, for example, as 8894753344 + 2431210666756 = 94312^2 + 1559234^2 .

It is a super-2 number, since 2×2440105420100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12200527001 + ... + 12200527200.

Almost surely, 2^{2440105420100} is an apocalyptic number.

2440105420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440105420100 is an abundant number, since it is smaller than the sum of its proper divisors (2854923341734).

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

2440105420100 is a wasteful number, since it uses less digits than its factorization.

2440105420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24401054215 (or 24401054208 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 2440105420100 in words is "two trillion, four hundred forty billion, one hundred five million, four hundred twenty thousand, one hundred".