2047993680 has 160 divisors (see below), whose sum is σ = 6536724480. Its totient is φ = 530127360.

The previous prime is 2047993657. The next prime is 2047993681. The reversal of 2047993680 is 863997402.

It is a super-2 number, since 2×2047993680² = 8388556226639884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047993681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1970601 + ... + 1971639.

It is an arithmetic number, because the mean of its divisors is an integer number (40854528).

Almost surely, 2^2047993680 is an apocalyptic number.

2047993680 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 2047993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268362240).

2047993680 is an abundant number, since it is smaller than the sum of its proper divisors (4488730800).

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

2047993680 is a wasteful number, since it uses less digits than its factorization.

2047993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2047993680 is about 45254.7641690905. The cubic root of 2047993680 is about 1269.9195352744.

The spelling of 2047993680 in words is "two billion, forty-seven million, nine hundred ninety-three thousand, six hundred eighty".