2034576400 has 30 divisors (see below), whose sum is σ = 4888070762. Its totient is φ = 813830400.

The previous prime is 2034576391. The next prime is 2034576409. The reversal of 2034576400 is 46754302.

It is an interprime number because it is at equal distance from previous prime (2034576391) and next prime (2034576409).

It can be written as a sum of positive squares in 3 ways, for example, as 1648656 + 2032927744 = 1284^2 + 45088^2 .

It is a super-2 number, since 2×2034576400² = 8279002254873920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2034576409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2542821 + ... + 2543620.

Almost surely, 2^2034576400 is an apocalyptic number.

2034576400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034576400 is an abundant number, since it is smaller than the sum of its proper divisors (2853494362).

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

2034576400 is a wasteful number, since it uses less digits than its factorization.

2034576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086459 (or 5086448 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 2034576400 is about 45106.2789420719. The cubic root of 2034576400 is about 1267.1401953770.

The spelling of 2034576400 in words is "two billion, thirty-four million, five hundred seventy-six thousand, four hundred".