2890255680 has 672 divisors, whose sum is σ = 11982297600. Its totient is φ = 631701504.

The previous prime is 2890255657. The next prime is 2890255721. The reversal of 2890255680 is 865520982.

2890255680 is a `hidden beast` number, since 2 + 8 + 90 + 2 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12093001 + ... + 12093239.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^2890255680 is an apocalyptic number.

2890255680 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 2890255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

2890255680 is an abundant number, since it is smaller than the sum of its proper divisors (9092041920).

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

2890255680 is a wasteful number, since it uses less digits than its factorization.

2890255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2890255680 is about 53761.0982030687. The cubic root of 2890255680 is about 1424.4441340725. Note that the first 3 decimals are identical.

The spelling of 2890255680 in words is "two billion, eight hundred ninety million, two hundred fifty-five thousand, six hundred eighty".