2049075600 has 240 divisors, whose sum is σ = 7712048064. Its totient is φ = 458496000.

The previous prime is 2049075571. The next prime is 2049075659. The reversal of 2049075600 is 65709402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165630 + ... + 177570.

Almost surely, 2^2049075600 is an apocalyptic number.

2049075600 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 2049075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856024032).

2049075600 is an abundant number, since it is smaller than the sum of its proper divisors (5662972464).

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

2049075600 is a wasteful number, since it uses less digits than its factorization.

2049075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2049075600 is about 45266.7162493592. The cubic root of 2049075600 is about 1270.1431214901.

The spelling of 2049075600 in words is "two billion, forty-nine million, seventy-five thousand, six hundred".