2010864960 has 224 divisors, whose sum is σ = 7639994880. Its totient is φ = 494954496.

The previous prime is 2010864929. The next prime is 2010864991. The reversal of 2010864960 is 694680102.

2010864960 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 8 + 649 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2010864929) and next prime (2010864991).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103369 + ... + 121271.

It is an arithmetic number, because the mean of its divisors is an integer number (34107120).

Almost surely, 2^2010864960 is an apocalyptic number.

2010864960 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 2010864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819997440).

2010864960 is an abundant number, since it is smaller than the sum of its proper divisors (5629129920).

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

2010864960 is a wasteful number, since it uses less digits than its factorization.

2010864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17942 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2010864960 is about 44842.6689660640. The cubic root of 2010864960 is about 1262.1984295551.

The spelling of 2010864960 in words is "two billion, ten million, eight hundred sixty-four thousand, nine hundred sixty".