2541145300000 has 144 divisors (see below), whose sum is σ = 6468834483720. Its totient is φ = 981406720000.

The previous prime is 2541145299967. The next prime is 2541145300027. The reversal of 2541145300000 is 35411452.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 897180262416 + 1643965037584 = 947196^2 + 1282172^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2461872 + ... + 3338128.

Almost surely, 2^{2541145300000} is an apocalyptic number.

2541145300000 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 2541145300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234417241860).

2541145300000 is an abundant number, since it is smaller than the sum of its proper divisors (3927689183720).

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

2541145300000 is an frugal number, since it uses more digits than its factorization.

2541145300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876321 (or 876293 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 2541145300000 in words is "two trillion, five hundred forty-one billion, one hundred forty-five million, three hundred thousand".