2047993920 has 672 divisors, whose sum is σ = 8672901120. Its totient is φ = 433520640.

The previous prime is 2047993901. The next prime is 2047993939. The reversal of 2047993920 is 293997402.

2047993920 is a `hidden beast` number, since 2 + 0 + 479 + 93 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2047993901) and next prime (2047993939).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18123784 + ... + 18123896.

Almost surely, 2^2047993920 is an apocalyptic number.

2047993920 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 2047993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336450560).

2047993920 is an abundant number, since it is smaller than the sum of its proper divisors (6624907200).

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

2047993920 is a wasteful number, since it uses less digits than its factorization.

2047993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2047993920 is about 45254.7668207450. The cubic root of 2047993920 is about 1269.9195848808.

The spelling of 2047993920 in words is "two billion, forty-seven million, nine hundred ninety-three thousand, nine hundred twenty".