2000013400 has 144 divisors (see below), whose sum is σ = 5901285240. Its totient is φ = 623347200.

The previous prime is 2000013371. The next prime is 2000013403. The reversal of 2000013400 is 43100002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000013403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98524 + ... + 117076.

Almost surely, 2^2000013400 is an apocalyptic number.

2000013400 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 2000013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950642620).

2000013400 is an abundant number, since it is smaller than the sum of its proper divisors (3901271840).

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

2000013400 is a wasteful number, since it uses less digits than its factorization.

2000013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18594 (or 18578 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2000013400 is about 44721.5093662993. The cubic root of 2000013400 is about 1259.9238637123.

Adding to 2000013400 its reverse (43100002), we get a palindrome (2043113402).

It can be divided in two parts, 200001 and 3400, that added together give a square (203401 = 451²).

The spelling of 2000013400 in words is "two billion, thirteen thousand, four hundred".