2049009600 has 336 divisors, whose sum is σ = 7410882816. Its totient is φ = 491520000.

The previous prime is 2049009583. The next prime is 2049009601. The reversal of 2049009600 is 69009402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049009601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7972672 + ... + 7972928.

Almost surely, 2^2049009600 is an apocalyptic number.

2049009600 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 2049009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705441408).

2049009600 is an abundant number, since it is smaller than the sum of its proper divisors (5361873216).

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

2049009600 is a wasteful number, since it uses less digits than its factorization.

2049009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2049009600 is about 45265.9872310325. The cubic root of 2049009600 is about 1270.1294843901.

The spelling of 2049009600 in words is "two billion, forty-nine million, nine thousand, six hundred".