2140799760 has 240 divisors, whose sum is σ = 8106147840. Its totient is φ = 518918400.

The previous prime is 2140799753. The next prime is 2140799821. The reversal of 2140799760 is 679970412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2140799760² = 9166047224832115200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257265 + ... + 265455.

It is an arithmetic number, because the mean of its divisors is an integer number (33775616).

Almost surely, 2^2140799760 is an apocalyptic number.

2140799760 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 2140799760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053073920).

2140799760 is an abundant number, since it is smaller than the sum of its proper divisors (5965348080).

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

2140799760 is a wasteful number, since it uses less digits than its factorization.

2140799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2140799760 is about 46268.7773774065. Note that the first 3 decimals coincide. The cubic root of 2140799760 is about 1288.8192549027.

The spelling of 2140799760 in words is "two billion, one hundred forty million, seven hundred ninety-nine thousand, seven hundred sixty".