2541735042 has 64 divisors (see below), whose sum is σ = 6710667264. Its totient is φ = 621354240.

The previous prime is 2541735041. The next prime is 2541735047. The reversal of 2541735042 is 2405371452.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2541734994 and 2541735012.

It is not an unprimeable number, because it can be changed into a prime (2541735041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153958 + ... + 169665.

It is an arithmetic number, because the mean of its divisors is an integer number (104854176).

Almost surely, 2^2541735042 is an apocalyptic number.

2541735042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2541735042 is an abundant number, since it is smaller than the sum of its proper divisors (4168932222).

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

2541735042 is a wasteful number, since it uses less digits than its factorization.

2541735042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323663.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2541735042 is about 50415.6229952581. The cubic root of 2541735042 is about 1364.7195892483.

The spelling of 2541735042 in words is "two billion, five hundred forty-one million, seven hundred thirty-five thousand, forty-two".