2693537920 has 128 divisors (see below), whose sum is σ = 6705561600. Its totient is φ = 1033482240.

The previous prime is 2693537911. The next prime is 2693537921. The reversal of 2693537920 is 297353962.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2693537921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2519146 + ... + 2520214.

It is an arithmetic number, because the mean of its divisors is an integer number (52387200).

Almost surely, 2^2693537920 is an apocalyptic number.

2693537920 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 2693537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352780800).

2693537920 is an abundant number, since it is smaller than the sum of its proper divisors (4012023680).

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

2693537920 is a wasteful number, since it uses less digits than its factorization.

2693537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 2693537920 is about 51899.3055830230. The cubic root of 2693537920 is about 1391.3648619603.

The spelling of 2693537920 in words is "two billion, six hundred ninety-three million, five hundred thirty-seven thousand, nine hundred twenty".