2511382664 has 128 divisors (see below), whose sum is σ = 6021734400. Its totient is φ = 957035520.

The previous prime is 2511382663. The next prime is 2511382667. The reversal of 2511382664 is 4662831152.

It is not an unprimeable number, because it can be changed into a prime (2511382661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268027 + ... + 1270005.

It is an arithmetic number, because the mean of its divisors is an integer number (47044800).

Almost surely, 2^2511382664 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 2511382664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010867200).

2511382664 is an abundant number, since it is smaller than the sum of its proper divisors (3510351736).

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

2511382664 is a wasteful number, since it uses less digits than its factorization.

2511382664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 2511382664 is about 50113.6973690826. The cubic root of 2511382664 is about 1359.2655102612.

The spelling of 2511382664 in words is "two billion, five hundred eleven million, three hundred eighty-two thousand, six hundred sixty-four".