2541156395904 has 768 divisors, whose sum is σ = 8964065510400. Its totient is φ = 701407641600.

The previous prime is 2541156395891. The next prime is 2541156395917. The reversal of 2541156395904 is 4095936511452.

It is a happy number.

2541156395904 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 15 + 6 + 39 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2541156395891) and next prime (2541156395917).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1216445292 + ... + 1216447380.

It is an arithmetic number, because the mean of its divisors is an integer number (11671960300).

Almost surely, 2^{2541156395904} is an apocalyptic number.

2541156395904 is a gapful number since it is divisible by the number (24) 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 2541156395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482032755200).

2541156395904 is an abundant number, since it is smaller than the sum of its proper divisors (6422909114496).

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

2541156395904 is a wasteful number, since it uses less digits than its factorization.

2541156395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 2541156395904 in words is "two trillion, five hundred forty-one billion, one hundred fifty-six million, three hundred ninety-five thousand, nine hundred four".