8110290240 has 672 divisors, whose sum is σ = 31872911616. Its totient is φ = 1950842880.

The previous prime is 8110290233. The next prime is 8110290241. The reversal of 8110290240 is 420920118.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8110290241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71772424 + ... + 71772536.

It is an arithmetic number, because the mean of its divisors is an integer number (47429928).

Almost surely, 2^8110290240 is an apocalyptic number.

8110290240 is a gapful number since it is divisible by the number (80) 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 8110290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936455808).

8110290240 is an abundant number, since it is smaller than the sum of its proper divisors (23762621376).

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

8110290240 is a wasteful number, since it uses less digits than its factorization.

8110290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8110290240 is about 90057.1498549671. The cubic root of 8110290240 is about 2009.1489379840.

The spelling of 8110290240 in words is "eight billion, one hundred ten million, two hundred ninety thousand, two hundred forty".