2581090848 has 288 divisors, whose sum is σ = 8645180544. Its totient is φ = 715309056.

The previous prime is 2581090829. The next prime is 2581090849. The reversal of 2581090848 is 8480901852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2581090849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13101886 + ... + 13102082.

It is an arithmetic number, because the mean of its divisors is an integer number (30017988).

Almost surely, 2^2581090848 is an apocalyptic number.

2581090848 is a gapful number since it is divisible by the number (28) 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 2581090848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322590272).

2581090848 is an abundant number, since it is smaller than the sum of its proper divisors (6064089696).

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

2581090848 is a wasteful number, since it uses less digits than its factorization.

2581090848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2581090848 is about 50804.4372865206. The cubic root of 2581090848 is about 1371.7272419447.

The spelling of 2581090848 in words is "two billion, five hundred eighty-one million, ninety thousand, eight hundred forty-eight".