2010299040 has 192 divisors, whose sum is σ = 7186475520. Its totient is φ = 524620800.

The previous prime is 2010299029. The next prime is 2010299117. The reversal of 2010299040 is 409920102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010298995 and 2010299013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198090 + ... + 207990.

It is an arithmetic number, because the mean of its divisors is an integer number (37429560).

Almost surely, 2^2010299040 is an apocalyptic number.

2010299040 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 2010299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593237760).

2010299040 is an abundant number, since it is smaller than the sum of its proper divisors (5176176480).

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

2010299040 is a wasteful number, since it uses less digits than its factorization.

2010299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2010299040 is about 44836.3584605173. The cubic root of 2010299040 is about 1262.0800111350.

The spelling of 2010299040 in words is "two billion, ten million, two hundred ninety-nine thousand, forty".