10837002240 has 288 divisors, whose sum is σ = 39774210840. Its totient is φ = 2719481856.

The previous prime is 10837002233. The next prime is 10837002313. The reversal of 10837002240 is 4220073801.

It can be written as a sum of positive squares in 4 ways, for example, as 10218783744 + 618218496 = 101088^2 + 24864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 1563262 + ... + 1570178.

Almost surely, 2^10837002240 is an apocalyptic number.

10837002240 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 10837002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887105420).

10837002240 is an abundant number, since it is smaller than the sum of its proper divisors (28937208600).

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

10837002240 is a wasteful number, since it uses less digits than its factorization.

10837002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10837002240 in words is "ten billion, eight hundred thirty-seven million, two thousand, two hundred forty".