2010681900 has 144 divisors (see below), whose sum is σ = 6479585280. Its totient is φ = 534888000.

The previous prime is 2010681877. The next prime is 2010681901. The reversal of 2010681900 is 91860102.

2010681900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010681900² = 8085683405975220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2010681901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1746325 + ... + 1747475.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 2^2010681900 is an apocalyptic number.

2010681900 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 2010681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239792640).

2010681900 is an abundant number, since it is smaller than the sum of its proper divisors (4468903380).

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

2010681900 is a wasteful number, since it uses less digits than its factorization.

2010681900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2010681900 is about 44840.6277832949. The cubic root of 2010681900 is about 1262.1601267914.

The spelling of 2010681900 in words is "two billion, ten million, six hundred eighty-one thousand, nine hundred".