2682135504 has 50 divisors (see below), whose sum is σ = 7762882050. Its totient is φ = 894044736.

The previous prime is 2682135487. The next prime is 2682135517. The reversal of 2682135504 is 4055312862.

2682135504 is a `hidden beast` number, since 26 + 82 + 1 + 3 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2650190400 + 31945104 = 51480^2 + 5652^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1033479 + ... + 1036070.

It is an arithmetic number, because the mean of its divisors is an integer number (155257641).

Almost surely, 2^2682135504 is an apocalyptic number.

2682135504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2682135504 is an abundant number, since it is smaller than the sum of its proper divisors (5080746546).

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

2682135504 is a wasteful number, since it uses less digits than its factorization.

2682135504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069569 (or 2069554 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2682135504 is about 51789.3377443659. The cubic root of 2682135504 is about 1389.3987538214.

The spelling of 2682135504 in words is "two billion, six hundred eighty-two million, one hundred thirty-five thousand, five hundred four".