2010952440 has 256 divisors, whose sum is σ = 8111923200. Its totient is φ = 432580608.

The previous prime is 2010952421. The next prime is 2010952451. The reversal of 2010952440 is 442590102.

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

It is a congruent number.

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, 120697 + ... + 136343.

It is an arithmetic number, because the mean of its divisors is an integer number (31687200).

Almost surely, 2^2010952440 is an apocalyptic number.

2010952440 is a gapful number since it is divisible by the number (20) 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 2010952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055961600).

2010952440 is an abundant number, since it is smaller than the sum of its proper divisors (6100970760).

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

2010952440 is a wasteful number, since it uses less digits than its factorization.

2010952440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15691 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2010952440 is about 44843.6443657292. The cubic root of 2010952440 is about 1262.2167327098.

The spelling of 2010952440 in words is "two billion, ten million, nine hundred fifty-two thousand, four hundred forty".