2541323640 has 128 divisors (see below), whose sum is σ = 7716202560. Its totient is φ = 669548544.

The previous prime is 2541323599. The next prime is 2541323647. The reversal of 2541323640 is 463231452.

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 = 2541323598 and 2541323607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541323647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4562242 + ... + 4562798.

Almost surely, 2^2541323640 is an apocalyptic number.

2541323640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858101280).

2541323640 is an abundant number, since it is smaller than the sum of its proper divisors (5174878920).

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

2541323640 is a wasteful number, since it uses less digits than its factorization.

2541323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2541323640 is about 50411.5427258480. The cubic root of 2541323640 is about 1364.6459546832.

The spelling of 2541323640 in words is "two billion, five hundred forty-one million, three hundred twenty-three thousand, six hundred forty".