2541652890 has 32 divisors (see below), whose sum is σ = 6971391360. Its totient is φ = 580949184.

The previous prime is 2541652889. The next prime is 2541652891. The reversal of 2541652890 is 982561452.

It is an interprime number because it is at equal distance from previous prime (2541652889) and next prime (2541652891).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2541652891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051345 + ... + 6051764.

It is an arithmetic number, because the mean of its divisors is an integer number (217855980).

Almost surely, 2^2541652890 is an apocalyptic number.

2541652890 is an abundant number, since it is smaller than the sum of its proper divisors (4429738470).

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

2541652890 is a wasteful number, since it uses less digits than its factorization.

2541652890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103126.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2541652890 is about 50414.8082412301. The cubic root of 2541652890 is about 1364.7048859518.

The spelling of 2541652890 in words is "two billion, five hundred forty-one million, six hundred fifty-two thousand, eight hundred ninety".