2592993040 has 160 divisors (see below), whose sum is σ = 6731569152. Its totient is φ = 921024000.

The previous prime is 2592993031. The next prime is 2592993077. The reversal of 2592993040 is 403992952.

It is a happy number.

2592993040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2592993040² = 13447225810976883200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9568105 + ... + 9568375.

Almost surely, 2^2592993040 is an apocalyptic number.

2592993040 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 2592993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365784576).

2592993040 is an abundant number, since it is smaller than the sum of its proper divisors (4138576112).

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

2592993040 is a wasteful number, since it uses less digits than its factorization.

2592993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 2592993040 is about 50921.4398853764. The cubic root of 2592993040 is about 1373.8324925907.

The spelling of 2592993040 in words is "two billion, five hundred ninety-two million, nine hundred ninety-three thousand, forty".