2505767440 has 80 divisors (see below), whose sum is σ = 6366485376. Its totient is φ = 909619200.

The previous prime is 2505767437. The next prime is 2505767441. The reversal of 2505767440 is 447675052.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2505767393 and 2505767402.

It is not an unprimeable number, because it can be changed into a prime (2505767441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590125 + ... + 594355.

Almost surely, 2^2505767440 is an apocalyptic number.

2505767440 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 2505767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183242688).

2505767440 is an abundant number, since it is smaller than the sum of its proper divisors (3860717936).

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

2505767440 is a wasteful number, since it uses less digits than its factorization.

2505767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 2505767440 is about 50057.6411749495. The cubic root of 2505767440 is about 1358.2516894568.

The spelling of 2505767440 in words is "two billion, five hundred five million, seven hundred sixty-seven thousand, four hundred forty".