2625769440 has 384 divisors, whose sum is σ = 10845757440. Its totient is φ = 580608000.

The previous prime is 2625769381. The next prime is 2625769477. The reversal of 2625769440 is 449675262.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936040 + ... + 938840.

It is an arithmetic number, because the mean of its divisors is an integer number (28244160).

Almost surely, 2^2625769440 is an apocalyptic number.

2625769440 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 2625769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422878720).

2625769440 is an abundant number, since it is smaller than the sum of its proper divisors (8219988000).

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

2625769440 is a wasteful number, since it uses less digits than its factorization.

2625769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2625769440 is about 51242.2622451429. The cubic root of 2625769440 is about 1379.5968576660.

The spelling of 2625769440 in words is "two billion, six hundred twenty-five million, seven hundred sixty-nine thousand, four hundred forty".