2048342400 has 288 divisors, whose sum is σ = 7872621120. Its totient is φ = 504115200.

The previous prime is 2048342383. The next prime is 2048342447. The reversal of 2048342400 is 42438402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371665 + ... + 377135.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 2^2048342400 is an apocalyptic number.

2048342400 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 2048342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936310560).

2048342400 is an abundant number, since it is smaller than the sum of its proper divisors (5824278720).

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

2048342400 is a wasteful number, since it uses less digits than its factorization.

2048342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2048342400 is about 45258.6168591131. The cubic root of 2048342400 is about 1269.9916092611.

The spelling of 2048342400 in words is "two billion, forty-eight million, three hundred forty-two thousand, four hundred".