10610910240 has 384 divisors, whose sum is σ = 40793518080. Its totient is φ = 2264371200.

The previous prime is 10610910223. The next prime is 10610910241. The reversal of 10610910240 is 4201901601.

It is a super-2 number, since 2×10610910240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10610910240.

It is not an unprimeable number, because it can be changed into a prime (10610910241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4531470 + ... + 4533810.

It is an arithmetic number, because the mean of its divisors is an integer number (106233120).

Almost surely, 2^10610910240 is an apocalyptic number.

10610910240 is a gapful number since it is divisible by the number (10) 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 10610910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396759040).

10610910240 is an abundant number, since it is smaller than the sum of its proper divisors (30182607840).

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

10610910240 is a wasteful number, since it uses less digits than its factorization.

10610910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 10610910240 in words is "ten billion, six hundred ten million, nine hundred ten thousand, two hundred forty".