2876106240 has 480 divisors, whose sum is σ = 12064852800. Its totient is φ = 618135552.

The previous prime is 2876106239. The next prime is 2876106283. The reversal of 2876106240 is 426016782.

2876106240 is a `hidden beast` number, since 28 + 7 + 6 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2876106195 and 2876106204.

It is a congruent number.

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, 2741236 + ... + 2742284.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 2^2876106240 is an apocalyptic number.

2876106240 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 2876106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032426400).

2876106240 is an abundant number, since it is smaller than the sum of its proper divisors (9188746560).

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

2876106240 is a wasteful number, since it uses less digits than its factorization.

2876106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2876106240 is about 53629.3412228791. The cubic root of 2876106240 is about 1422.1158433165.

The spelling of 2876106240 in words is "two billion, eight hundred seventy-six million, one hundred six thousand, two hundred forty".