9902910240 has 144 divisors (see below), whose sum is σ = 33853587768. Its totient is φ = 2636095488.

The previous prime is 9902910233. The next prime is 9902910271. The reversal of 9902910240 is 420192099.

It can be written as a sum of positive squares in 4 ways, for example, as 9548416656 + 354493584 = 97716^2 + 18828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9902910195 and 9902910204.

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 23 ways as a sum of consecutive naturals, for example, 848122 + ... + 859718.

Almost surely, 2^9902910240 is an apocalyptic number.

9902910240 is a gapful number since it is divisible by the number (90) 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 9902910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926793884).

9902910240 is an abundant number, since it is smaller than the sum of its proper divisors (23950677528).

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

9902910240 is a wasteful number, since it uses less digits than its factorization.

9902910240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9902910240 is about 99513.3671423091. The cubic root of 9902910240 is about 2147.4395508370.

The spelling of 9902910240 in words is "nine billion, nine hundred two million, nine hundred ten thousand, two hundred forty".