2616878772 has 96 divisors (see below), whose sum is σ = 6918307200. Its totient is φ = 855187200.

The previous prime is 2616878753. The next prime is 2616878779. The reversal of 2616878772 is 2778786162.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2616878779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234304 + ... + 3235112.

It is an arithmetic number, because the mean of its divisors is an integer number (72065700).

Almost surely, 2^2616878772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616878772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459153600).

2616878772 is an abundant number, since it is smaller than the sum of its proper divisors (4301428428).

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

2616878772 is a wasteful number, since it uses less digits than its factorization.

2616878772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 2616878772 is about 51155.4373649566. The cubic root of 2616878772 is about 1378.0380247947.

The spelling of 2616878772 in words is "two billion, six hundred sixteen million, eight hundred seventy-eight thousand, seven hundred seventy-two".