2625787920 has 240 divisors, whose sum is σ = 9484214400. Its totient is φ = 588693504.

The previous prime is 2625787891. The next prime is 2625787949. The reversal of 2625787920 is 297875262.

It is an interprime number because it is at equal distance from previous prime (2625787891) and next prime (2625787949).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2625787920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5847856 + ... + 5848304.

It is an arithmetic number, because the mean of its divisors is an integer number (39517560).

Almost surely, 2^2625787920 is an apocalyptic number.

2625787920 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 2625787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742107200).

2625787920 is an abundant number, since it is smaller than the sum of its proper divisors (6858426480).

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

2625787920 is a wasteful number, since it uses less digits than its factorization.

2625787920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2625787920 is about 51242.4425647334. The cubic root of 2625787920 is about 1379.6000941637.

The spelling of 2625787920 in words is "two billion, six hundred twenty-five million, seven hundred eighty-seven thousand, nine hundred twenty".