2047433440 has 192 divisors, whose sum is σ = 5444070912. Its totient is φ = 722534400.

The previous prime is 2047433371. The next prime is 2047433467. The reversal of 2047433440 is 443347402.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7286100 + ... + 7286380.

It is an arithmetic number, because the mean of its divisors is an integer number (28354536).

Almost surely, 2^2047433440 is an apocalyptic number.

2047433440 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 2047433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722035456).

2047433440 is an abundant number, since it is smaller than the sum of its proper divisors (3396637472).

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

2047433440 is a wasteful number, since it uses less digits than its factorization.

2047433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 31.

The square root of 2047433440 is about 45248.5739001794. The cubic root of 2047433440 is about 1269.8037268759.

The spelling of 2047433440 in words is "two billion, forty-seven million, four hundred thirty-three thousand, four hundred forty".