2542211412120 has 384 divisors, whose sum is σ = 8505345176640. Its totient is φ = 658300907520.

The previous prime is 2542211412119. The next prime is 2542211412137. The reversal of 2542211412120 is 212141122452.

2542211412120 is a `hidden beast` number, since 2 + 5 + 4 + 221 + 1 + 412 + 1 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 744859534 + ... + 744862946.

Almost surely, 2^{2542211412120} is an apocalyptic number.

2542211412120 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 2542211412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252672588320).

2542211412120 is an abundant number, since it is smaller than the sum of its proper divisors (5963133764520).

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

2542211412120 is a wasteful number, since it uses less digits than its factorization.

2542211412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 2542211412120 its reverse (212141122452), we get a palindrome (2754352534572).

The spelling of 2542211412120 in words is "two trillion, five hundred forty-two billion, two hundred eleven million, four hundred twelve thousand, one hundred twenty".