2049062400 has 1080 divisors, whose sum is σ = 9616650120. Its totient is φ = 425779200.

The previous prime is 2049062383. The next prime is 2049062401. The reversal of 2049062400 is 42609402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049062401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 186278395 + ... + 186278405.

Almost surely, 2^2049062400 is an apocalyptic number.

2049062400 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 2049062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808325060).

2049062400 is an abundant number, since it is smaller than the sum of its proper divisors (7567587720).

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

2049062400 is a wasteful number, since it uses less digits than its factorization.

2049062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2049062400 is about 45266.5704466331. The cubic root of 2049062400 is about 1270.1403940935.

Multiplying 2049062400 by its product of nonzero digits (3456), we get a square (7081559654400 = 2661120²).

2049062400 divided by its product of nonzero digits (3456) gives a square (592900 = 770²).

The spelling of 2049062400 in words is "two billion, forty-nine million, sixty-two thousand, four hundred".