2541400000000 has 360 divisors, whose sum is σ = 6461680285368. Its totient is φ = 998400000000.

The previous prime is 2541399999997. The next prime is 2541400000021. The reversal of 2541400000000 is 41452.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2541400000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19399999935 + ... + 19400000065.

Almost surely, 2^{2541400000000} is an apocalyptic number.

2541400000000 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 2541400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230840142684).

2541400000000 is an abundant number, since it is smaller than the sum of its proper divisors (3920280285368).

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

2541400000000 is an frugal number, since it uses more digits than its factorization.

2541400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 2541400000000 its reverse (41452), we get a palindrome (2541400041452).

The spelling of 2541400000000 in words is "two trillion, five hundred forty-one billion, four hundred million", and thus it is an aban number.