2047928400 has 480 divisors, whose sum is σ = 8443269120. Its totient is φ = 461790720.

The previous prime is 2047928383. The next prime is 2047928413. The reversal of 2047928400 is 48297402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7786669 + ... + 7786931.

It is an arithmetic number, because the mean of its divisors is an integer number (17590144).

Almost surely, 2^2047928400 is an apocalyptic number.

2047928400 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 2047928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221634560).

2047928400 is an abundant number, since it is smaller than the sum of its proper divisors (6395340720).

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

2047928400 is a wasteful number, since it uses less digits than its factorization.

2047928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2047928400 is about 45254.0429133133. The cubic root of 2047928400 is about 1269.9060421944.

The spelling of 2047928400 in words is "two billion, forty-seven million, nine hundred twenty-eight thousand, four hundred".