2541756340 has 96 divisors (see below), whose sum is σ = 5657057280. Its totient is φ = 958003200.

The previous prime is 2541756323. The next prime is 2541756341. The reversal of 2541756340 is 436571452.

It is a self number, because there is not a number n which added to its sum of digits gives 2541756340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541756341) 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, 4027825 + ... + 4028455.

It is an arithmetic number, because the mean of its divisors is an integer number (58927680).

Almost surely, 2^2541756340 is an apocalyptic number.

2541756340 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 2541756340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828528640).

2541756340 is an abundant number, since it is smaller than the sum of its proper divisors (3115300940).

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

2541756340 is a wasteful number, since it uses less digits than its factorization.

2541756340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 2541756340 is about 50415.8342190229. The cubic root of 2541756340 is about 1364.7234010430.

The spelling of 2541756340 in words is "two billion, five hundred forty-one million, seven hundred fifty-six thousand, three hundred forty".