2495688480 has 288 divisors, whose sum is σ = 9034841088. Its totient is φ = 626227200.

The previous prime is 2495688473. The next prime is 2495688509. The reversal of 2495688480 is 848865942.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1650925 + ... + 1652435.

It is an arithmetic number, because the mean of its divisors is an integer number (31370976).

Almost surely, 2^2495688480 is an apocalyptic number.

2495688480 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 2495688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544).

2495688480 is an abundant number, since it is smaller than the sum of its proper divisors (6539152608).

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

2495688480 is a wasteful number, since it uses less digits than its factorization.

2495688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2495688480 is about 49956.8661947484. The cubic root of 2495688480 is about 1356.4281416212.

The spelling of 2495688480 in words is "two billion, four hundred ninety-five million, six hundred eighty-eight thousand, four hundred eighty".