2000409264 has 160 divisors (see below), whose sum is σ = 6589102080. Its totient is φ = 569203200.

The previous prime is 2000409259. The next prime is 2000409269. The reversal of 2000409264 is 4629040002.

It is an interprime number because it is at equal distance from previous prime (2000409259) and next prime (2000409269).

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 (2000409269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818284 + ... + 820724.

It is an arithmetic number, because the mean of its divisors is an integer number (41181888).

Almost surely, 2^2000409264 is an apocalyptic number.

2000409264 is a gapful number since it is divisible by the number (24) 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 2000409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294551040).

2000409264 is an abundant number, since it is smaller than the sum of its proper divisors (4588692816).

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

2000409264 is a wasteful number, since it uses less digits than its factorization.

2000409264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2000409264 is about 44725.9350265593. The cubic root of 2000409264 is about 1260.0069840883.

Adding to 2000409264 its reverse (4629040002), we get a palindrome (6629449266).

The spelling of 2000409264 in words is "two billion, four hundred nine thousand, two hundred sixty-four".