2599007040 has 448 divisors, whose sum is σ = 10704576000. Its totient is φ = 593381376.

The previous prime is 2599007027. The next prime is 2599007041. The reversal of 2599007040 is 407009952.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2599006986 and 2599007004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2599007041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963082 + ... + 2963958.

Almost surely, 2^2599007040 is an apocalyptic number.

2599007040 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 2599007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352288000).

2599007040 is an abundant number, since it is smaller than the sum of its proper divisors (8105568960).

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

2599007040 is an equidigital number, since it uses as much as digits as its factorization.

2599007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2599007040 is about 50980.4574322357. The cubic root of 2599007040 is about 1374.8937949925.

The spelling of 2599007040 in words is "two billion, five hundred ninety-nine million, seven thousand, forty".