2077948140 has 72 divisors (see below), whose sum is σ = 5919135600. Its totient is φ = 544672896.

The previous prime is 2077948127. The next prime is 2077948163. The reversal of 2077948140 is 418497702.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2077948092 and 2077948101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203886 + ... + 213834.

Almost surely, 2^2077948140 is an apocalyptic number.

2077948140 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 2077948140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959567800).

2077948140 is an abundant number, since it is smaller than the sum of its proper divisors (3841187460).

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

2077948140 is a wasteful number, since it uses less digits than its factorization.

2077948140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2077948140 is about 45584.5164502159. The cubic root of 2077948140 is about 1276.0809779159.

The spelling of 2077948140 in words is "two billion, seventy-seven million, nine hundred forty-eight thousand, one hundred forty".