2050278400 has 99 divisors (see below), whose sum is σ = 5100229461. Its totient is φ = 817213440.

The previous prime is 2050278359. The next prime is 2050278463. The reversal of 2050278400 is 48720502.

The square root of 2050278400 is 45280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 738100224 + 1312178176 = 27168^2 + 36224^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7244659 + ... + 7244941.

Almost surely, 2^2050278400 is an apocalyptic number.

2050278400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2050278400 is the 45280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050278400

2050278400 is an abundant number, since it is smaller than the sum of its proper divisors (3049951061).

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

2050278400 is an frugal number, since it uses more digits than its factorization.

2050278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The cubic root of 2050278400 is about 1270.3915960250.

Adding to 2050278400 its reverse (48720502), we get a palindrome (2098998902).

The spelling of 2050278400 in words is "two billion, fifty million, two hundred seventy-eight thousand, four hundred".