2049649200 has 360 divisors, whose sum is σ = 7625927088. Its totient is φ = 507985920.

The previous prime is 2049649181. The next prime is 2049649201. The reversal of 2049649200 is 29469402.

2049649200 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 649 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2049649201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6548244 + ... + 6548556.

Almost surely, 2^2049649200 is an apocalyptic number.

2049649200 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 2049649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812963544).

2049649200 is an abundant number, since it is smaller than the sum of its proper divisors (5576277888).

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

2049649200 is a wasteful number, since it uses less digits than its factorization.

2049649200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2049649200 is about 45273.0515870092. The cubic root of 2049649200 is about 1270.2616279560.

It can be divided in two parts, 20496 and 49200, that added together give a palindrome (69696).

The spelling of 2049649200 in words is "two billion, forty-nine million, six hundred forty-nine thousand, two hundred".