2590155648 has 384 divisors, whose sum is σ = 8286969600. Its totient is φ = 774144000.

The previous prime is 2590155647. The next prime is 2590155661. The reversal of 2590155648 is 8465510952.

2590155648 is a `hidden beast` number, since 2 + 5 + 90 + 1 + 556 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590155647) 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, 42461538 + ... + 42461598.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^2590155648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143484800).

2590155648 is an abundant number, since it is smaller than the sum of its proper divisors (5696813952).

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

2590155648 is a wasteful number, since it uses less digits than its factorization.

2590155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2590155648 is about 50893.5717748322. The cubic root of 2590155648 is about 1373.3312026443.

The spelling of 2590155648 in words is "two billion, five hundred ninety million, one hundred fifty-five thousand, six hundred forty-eight".