2495741688000 has 672 divisors, whose sum is σ = 9753307806528. Its totient is φ = 604157952000.

The previous prime is 2495741687987. The next prime is 2495741688007. The reversal of 2495741688000 is 8861475942.

It is a happy number.

2495741688000 is a `hidden beast` number, since 2 + 4 + 9 + 574 + 1 + 68 + 8 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2495741688007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678742162 + ... + 678745838.

Almost surely, 2^{2495741688000} is an apocalyptic number.

2495741688000 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 2495741688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876653903264).

2495741688000 is an abundant number, since it is smaller than the sum of its proper divisors (7257566118528).

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

2495741688000 is a wasteful number, since it uses less digits than its factorization.

2495741688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2495741688000 in words is "two trillion, four hundred ninety-five billion, seven hundred forty-one million, six hundred eighty-eight thousand".