2888632516 has 81 divisors (see below), whose sum is σ = 6482187117. Its totient is φ = 1122216480.

The previous prime is 2888632501. The next prime is 2888632519. The reversal of 2888632516 is 6152368882.

The square root of 2888632516 is 53746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2120234116 + 768398400 = 46046^2 + 27720^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2888632516.

It is not an unprimeable number, because it can be changed into a prime (2888632519) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8276710 + ... + 8277058.

Almost surely, 2^2888632516 is an apocalyptic number.

2888632516 is the 53746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2888632516

2888632516 is an abundant number, since it is smaller than the sum of its proper divisors (3593554601).

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

2888632516 is a wasteful number, since it uses less digits than its factorization.

2888632516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The cubic root of 2888632516 is about 1424.1774287870.

Multiplying 2888632516 by its sum of digits (49), we get a square (141542993284 = 376222²).

2888632516 divided by its sum of digits (49) gives a square (58951684 = 7678²).

The spelling of 2888632516 in words is "two billion, eight hundred eighty-eight million, six hundred thirty-two thousand, five hundred sixteen".