2541553350 has 96 divisors (see below), whose sum is σ = 7214109696. Its totient is φ = 580070400.

The previous prime is 2541553283. The next prime is 2541553369. The reversal of 2541553350 is 533551452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 955222 + ... + 957878.

It is an arithmetic number, because the mean of its divisors is an integer number (75146976).

Almost surely, 2^2541553350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541553350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607054848).

2541553350 is an abundant number, since it is smaller than the sum of its proper divisors (4672556346).

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

2541553350 is a wasteful number, since it uses less digits than its factorization.

2541553350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 2541553350 is about 50413.8210216206. The cubic root of 2541553350 is about 1364.6870701834.

The spelling of 2541553350 in words is "two billion, five hundred forty-one million, five hundred fifty-three thousand, three hundred fifty".