2541230120400 has 60 divisors (see below), whose sum is σ = 8140407156192. Its totient is φ = 677661365120.

The previous prime is 2541230120371. The next prime is 2541230120419. The reversal of 2541230120400 is 40210321452.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1058844684 + ... + 1058847083.

Almost surely, 2^{2541230120400} is an apocalyptic number.

2541230120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541230120400 is an abundant number, since it is smaller than the sum of its proper divisors (5599177035792).

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

2541230120400 is a wasteful number, since it uses less digits than its factorization.

2541230120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117691788 (or 2117691777 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2541230120400 its reverse (40210321452), we get a palindrome (2581440441852).

The spelling of 2541230120400 in words is "two trillion, five hundred forty-one billion, two hundred thirty million, one hundred twenty thousand, four hundred".