2541198067200 has 1440 divisors, whose sum is σ = 10212978327552. Its totient is φ = 599187456000.

The previous prime is 2541198067193. The next prime is 2541198067217. The reversal of 2541198067200 is 27608911452.

2541198067200 is a `hidden beast` number, since 2 + 541 + 1 + 9 + 80 + 6 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5896050985 + ... + 5896051415.

Almost surely, 2^{2541198067200} is an apocalyptic number.

2541198067200 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 2541198067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106489163776).

2541198067200 is an abundant number, since it is smaller than the sum of its proper divisors (7671780260352).

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

2541198067200 is a wasteful number, since it uses less digits than its factorization.

2541198067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2541198067200 in words is "two trillion, five hundred forty-one billion, one hundred ninety-eight million, sixty-seven thousand, two hundred".