2093879040 has 288 divisors, whose sum is σ = 7682169600. Its totient is φ = 480706560.

The previous prime is 2093879017. The next prime is 2093879077. The reversal of 2093879040 is 409783902.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2093878983 and 2093879001.

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, 801256 + ... + 803864.

It is an arithmetic number, because the mean of its divisors is an integer number (26674200).

Almost surely, 2^2093879040 is an apocalyptic number.

2093879040 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 2093879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841084800).

2093879040 is an abundant number, since it is smaller than the sum of its proper divisors (5588290560).

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

2093879040 is a wasteful number, since it uses less digits than its factorization.

2093879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2093879040 is about 45758.9230642505. The cubic root of 2093879040 is about 1279.3337678738. Note that the first 3 decimals are identical.

The spelling of 2093879040 in words is "two billion, ninety-three million, eight hundred seventy-nine thousand, forty".