2876611248 has 360 divisors, whose sum is σ = 10107240000. Its totient is φ = 758999808.

The previous prime is 2876611247. The next prime is 2876611249. The reversal of 2876611248 is 8421166782.

2876611248 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 611 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2876611247) and next prime (2876611249).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2876611247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5764503 + ... + 5765001.

Almost surely, 2^2876611248 is an apocalyptic number.

2876611248 is a gapful number since it is divisible by the number (28) 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 2876611248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053620000).

2876611248 is an abundant number, since it is smaller than the sum of its proper divisors (7230628752).

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

2876611248 is a wasteful number, since it uses less digits than its factorization.

2876611248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2876611248 is about 53634.0493343548. The cubic root of 2876611248 is about 1422.1990736503.

The spelling of 2876611248 in words is "two billion, eight hundred seventy-six million, six hundred eleven thousand, two hundred forty-eight".