2541040548900 has 288 divisors, whose sum is σ = 8568767063808. Its totient is φ = 569327616000.

The previous prime is 2541040548889. The next prime is 2541040548931. The reversal of 2541040548900 is 98450401452.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 128319000 + ... + 128338800.

It is an arithmetic number, because the mean of its divisors is an integer number (29752663416).

Almost surely, 2^{2541040548900} is an apocalyptic number.

2541040548900 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 2541040548900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284383531904).

2541040548900 is an abundant number, since it is smaller than the sum of its proper divisors (6027726514908).

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

2541040548900 is a wasteful number, since it uses less digits than its factorization.

2541040548900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21031 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 2541040548900 in words is "two trillion, five hundred forty-one billion, forty million, five hundred forty-eight thousand, nine hundred".