2010650400 has 432 divisors, whose sum is σ = 7896994560. Its totient is φ = 477235200.

The previous prime is 2010650399. The next prime is 2010650407. The reversal of 2010650400 is 40560102.

It is a happy number.

2010650400 is a `hidden beast` number, since 2 + 0 + 10 + 650 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2010650407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4197361 + ... + 4197839.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^2010650400 is an apocalyptic number.

2010650400 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 2010650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

2010650400 is an abundant number, since it is smaller than the sum of its proper divisors (5886344160).

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

2010650400 is a wasteful number, since it uses less digits than its factorization.

2010650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2010650400 is about 44840.2765379519. The cubic root of 2010650400 is about 1262.1535356192.

The spelling of 2010650400 in words is "two billion, ten million, six hundred fifty thousand, four hundred".