2625047040 has 640 divisors, whose sum is σ = 10974154752. Its totient is φ = 519045120.

The previous prime is 2625047039. The next prime is 2625047053. The reversal of 2625047040 is 407405262.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2625046989 and 2625047007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13601184 + ... + 13601376.

Almost surely, 2^2625047040 is an apocalyptic number.

2625047040 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 2625047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487077376).

2625047040 is an abundant number, since it is smaller than the sum of its proper divisors (8349107712).

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

2625047040 is a wasteful number, since it uses less digits than its factorization.

2625047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2625047040 is about 51235.2128911357. The cubic root of 2625047040 is about 1379.4703281282.

The spelling of 2625047040 in words is "two billion, six hundred twenty-five million, forty-seven thousand, forty".