2872694916 has 192 divisors, whose sum is σ = 9212313600. Its totient is φ = 753846912.

The previous prime is 2872694879. The next prime is 2872694953. The reversal of 2872694916 is 6194962782.

2872694916 is a `hidden beast` number, since 28 + 72 + 69 + 491 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2872694879) and next prime (2872694953).

It is a super-3 number, since 3×2872694916³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2348281 + ... + 2349503.

It is an arithmetic number, because the mean of its divisors is an integer number (47980800).

Almost surely, 2^2872694916 is an apocalyptic number.

2872694916 is a gapful number since it is divisible by the number (26) 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 2872694916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2872694916 is an abundant number, since it is smaller than the sum of its proper divisors (6339618684).

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

2872694916 is a wasteful number, since it uses less digits than its factorization.

2872694916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2872694916 is about 53597.5271444495. The cubic root of 2872694916 is about 1421.5533678961.

The spelling of 2872694916 in words is "two billion, eight hundred seventy-two million, six hundred ninety-four thousand, nine hundred sixteen".