2034411400 has 72 divisors (see below), whose sum is σ = 5502278970. Its totient is φ = 697509120.

The previous prime is 2034411389. The next prime is 2034411409. The reversal of 2034411400 is 41144302.

It can be written as a sum of positive squares in 3 ways, for example, as 1826878564 + 207532836 = 42742^2 + 14406^2 .

It is not an unprimeable number, because it can be changed into a prime (2034411409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93997 + ... + 113596.

Almost surely, 2^2034411400 is an apocalyptic number.

2034411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034411400 is an abundant number, since it is smaller than the sum of its proper divisors (3467867570).

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

2034411400 is a wasteful number, since it uses less digits than its factorization.

2034411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207623 (or 207607 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2034411400 is about 45104.4498913356. The cubic root of 2034411400 is about 1267.1059402884.

Adding to 2034411400 its reverse (41144302), we get a palindrome (2075555702).

The spelling of 2034411400 in words is "two billion, thirty-four million, four hundred eleven thousand, four hundred".