2495569440 has 768 divisors, whose sum is σ = 10621255680. Its totient is φ = 477757440.

The previous prime is 2495569381. The next prime is 2495569463. The reversal of 2495569440 is 449655942.

2495569440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 2495569440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25727472 + ... + 25727568.

It is an arithmetic number, because the mean of its divisors is an integer number (13829760).

Almost surely, 2^2495569440 is an apocalyptic number.

2495569440 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 2495569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310627840).

2495569440 is an abundant number, since it is smaller than the sum of its proper divisors (8125686240).

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

2495569440 is a wasteful number, since it uses less digits than its factorization.

2495569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 2495569440 is about 49955.6747527245. The cubic root of 2495569440 is about 1356.4065748572.

It can be divided in two parts, 24955 and 69440, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 2495569440 in words is "two billion, four hundred ninety-five million, five hundred sixty-nine thousand, four hundred forty".