2048306400 has 1152 divisors, whose sum is σ = 9599385600. Its totient is φ = 410572800.

The previous prime is 2048306383. The next prime is 2048306459. The reversal of 2048306400 is 46038402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66074385 + ... + 66074415.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2^2048306400 is an apocalyptic number.

2048306400 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 2048306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

2048306400 is an abundant number, since it is smaller than the sum of its proper divisors (7551079200).

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

2048306400 is a wasteful number, since it uses less digits than its factorization.

2048306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2048306400 is about 45258.2191430463. The cubic root of 2048306400 is about 1269.9841691043.

The spelling of 2048306400 in words is "two billion, forty-eight million, three hundred six thousand, four hundred".