2541109440 has 56 divisors (see below), whose sum is σ = 8068025520. Its totient is φ = 677628928.

The previous prime is 2541109397. The next prime is 2541109471. The reversal of 2541109440 is 449011452.

It is a super-2 number, since 2×2541109440² = 12914474372114227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2541109398 and 2541109407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322535 + ... + 1324454.

Almost surely, 2^2541109440 is an apocalyptic number.

2541109440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541109440 is an abundant number, since it is smaller than the sum of its proper divisors (5526916080).

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

2541109440 is a wasteful number, since it uses less digits than its factorization.

2541109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647009 (or 2646999 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2541109440 is about 50409.4181676401. The cubic root of 2541109440 is about 1364.6076130658.

The spelling of 2541109440 in words is "two billion, five hundred forty-one million, one hundred nine thousand, four hundred forty".