2546613090 has 288 divisors, whose sum is σ = 8192980224. Its totient is φ = 537384960.

The previous prime is 2546613089. The next prime is 2546613101. The reversal of 2546613090 is 903166452.

It is a happy 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 143 ways as a sum of consecutive naturals, for example, 12926872 + ... + 12927068.

It is an arithmetic number, because the mean of its divisors is an integer number (28447848).

Almost surely, 2^2546613090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546613090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096490112).

2546613090 is an abundant number, since it is smaller than the sum of its proper divisors (5646367134).

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

2546613090 is a wasteful number, since it uses less digits than its factorization.

2546613090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2546613090 is about 50463.9781428298. The cubic root of 2546613090 is about 1365.5920790134.

The spelling of 2546613090 in words is "two billion, five hundred forty-six million, six hundred thirteen thousand, ninety".