8216910240 has 384 divisors, whose sum is σ = 33971374080. Its totient is φ = 1617408000.

The previous prime is 8216910193. The next prime is 8216910263. The reversal of 8216910240 is 420196128.

It is a super-2 number, since 2×8216910240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 696390 + ... + 708090.

It is an arithmetic number, because the mean of its divisors is an integer number (88467120).

Almost surely, 2^8216910240 is an apocalyptic number.

8216910240 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 8216910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985687040).

8216910240 is an abundant number, since it is smaller than the sum of its proper divisors (25754463840).

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

8216910240 is a wasteful number, since it uses less digits than its factorization.

8216910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11756 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8216910240 is about 90647.1744733392. The cubic root of 8216910240 is about 2017.9149023309.

The spelling of 8216910240 in words is "eight billion, two hundred sixteen million, nine hundred ten thousand, two hundred forty".