2047310400 has 336 divisors, whose sum is σ = 7016300928. Its totient is φ = 522240000.

The previous prime is 2047310399. The next prime is 2047310407. The reversal of 2047310400 is 40137402.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2047310407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19876749 + ... + 19876851.

It is an arithmetic number, because the mean of its divisors is an integer number (20881848).

Almost surely, 2^2047310400 is an apocalyptic number.

2047310400 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 2047310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508150464).

2047310400 is an abundant number, since it is smaller than the sum of its proper divisors (4968990528).

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

2047310400 is a wasteful number, since it uses less digits than its factorization.

2047310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2047310400 is about 45247.2142788924. The cubic root of 2047310400 is about 1269.7782901873.

Adding to 2047310400 its reverse (40137402), we get a palindrome (2087447802).

The spelling of 2047310400 in words is "two billion, forty-seven million, three hundred ten thousand, four hundred".