2034849600 has 420 divisors, whose sum is σ = 8551919904. Its totient is φ = 464901120.

The previous prime is 2034849589. The next prime is 2034849601. The reversal of 2034849600 is 69484302.

It is a happy number.

2034849600 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 8 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×2034849600² = 8281225789240320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034849601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906079 + ... + 908321.

Almost surely, 2^2034849600 is an apocalyptic number.

2034849600 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 2034849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275959952).

2034849600 is an abundant number, since it is smaller than the sum of its proper divisors (6517070304).

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

2034849600 is a wasteful number, since it uses less digits than its factorization.

2034849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2034849600 is about 45109.3072436277. The cubic root of 2034849600 is about 1267.1969094277.

The spelling of 2034849600 in words is "two billion, thirty-four million, eight hundred forty-nine thousand, six hundred".