2047008400 has 60 divisors (see below), whose sum is σ = 5010780852. Its totient is φ = 803345920.

The previous prime is 2047008389. The next prime is 2047008401. The reversal of 2047008400 is 48007402.

It can be written as a sum of positive squares in 6 ways, for example, as 124010496 + 1922997904 = 11136^2 + 43852^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2047008401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27079 + ... + 69478.

Almost surely, 2^2047008400 is an apocalyptic number.

2047008400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2047008400 is an abundant number, since it is smaller than the sum of its proper divisors (2963772452).

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

2047008400 is a wasteful number, since it uses less digits than its factorization.

2047008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96628 (or 96617 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2047008400 is about 45243.8769337907. The cubic root of 2047008400 is about 1269.7158518616.

The spelling of 2047008400 in words is "two billion, forty-seven million, eight thousand, four hundred".