2548691191040 has 216 divisors, whose sum is σ = 6410881397760. Its totient is φ = 970721021952.

The previous prime is 2548691190977. The next prime is 2548691191049. The reversal of 2548691191040 is 401911968452.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2548691191040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2548691191049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150989321 + ... + 151006199.

Almost surely, 2^{2548691191040} is an apocalyptic number.

2548691191040 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 2548691191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440698880).

2548691191040 is an abundant number, since it is smaller than the sum of its proper divisors (3862190206720).

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

2548691191040 is a wasteful number, since it uses less digits than its factorization.

2548691191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17169 (or 17132 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 2548691191040 in words is "two trillion, five hundred forty-eight billion, six hundred ninety-one million, one hundred ninety-one thousand, forty".