2049524400 has 480 divisors, whose sum is σ = 8400462336. Its totient is φ = 414720000.

The previous prime is 2049524381. The next prime is 2049524401. The reversal of 2049524400 is 44259402.

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

It is not an unprimeable number, because it can be changed into a prime (2049524401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3788130 + ... + 3788670.

Almost surely, 2^2049524400 is an apocalyptic number.

2049524400 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 2049524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200231168).

2049524400 is an abundant number, since it is smaller than the sum of its proper divisors (6350937936).

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

2049524400 is a wasteful number, since it uses less digits than its factorization.

2049524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2049524400 is about 45271.6732626485. The cubic root of 2049524400 is about 1270.2358460045.

The spelling of 2049524400 in words is "two billion, forty-nine million, five hundred twenty-four thousand, four hundred".