2529116680 has 64 divisors (see below), whose sum is σ = 5896800000. Its totient is φ = 975093504.

The previous prime is 2529116677. The next prime is 2529116683. The reversal of 2529116680 is 866119252.

It is an interprime number because it is at equal distance from previous prime (2529116677) and next prime (2529116683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2529116683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841821 + ... + 844819.

It is an arithmetic number, because the mean of its divisors is an integer number (92137500).

Almost surely, 2^2529116680 is an apocalyptic number.

2529116680 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 2529116680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400000).

2529116680 is an abundant number, since it is smaller than the sum of its proper divisors (3367683320).

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

2529116680 is a wasteful number, since it uses less digits than its factorization.

2529116680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 2529116680 is about 50290.3239202135. The cubic root of 2529116680 is about 1362.4574728471.

The spelling of 2529116680 in words is "two billion, five hundred twenty-nine million, one hundred sixteen thousand, six hundred eighty".