2541981312000 has 1408 divisors, whose sum is σ = 10472045875200. Its totient is φ = 603832320000.

The previous prime is 2541981311923. The next prime is 2541981312023. The reversal of 2541981312000 is 2131891452.

2541981312000 is a `hidden beast` number, since 2 + 5 + 419 + 8 + 1 + 31 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302911025 + ... + 1302912975.

Almost surely, 2^{2541981312000} is an apocalyptic number.

2541981312000 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 2541981312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236022937600).

2541981312000 is an abundant number, since it is smaller than the sum of its proper divisors (7930064563200).

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

2541981312000 is a wasteful number, since it uses less digits than its factorization.

2541981312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2541981312000 in words is "two trillion, five hundred forty-one billion, nine hundred eighty-one million, three hundred twelve thousand".