2542031106420 has 288 divisors, whose sum is σ = 7889156352000. Its totient is φ = 611133519360.

The previous prime is 2542031106403. The next prime is 2542031106427. The reversal of 2542031106420 is 246011302452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542031106427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77017081 + ... + 77050079.

It is an arithmetic number, because the mean of its divisors is an integer number (27392904000).

Almost surely, 2^{2542031106420} is an apocalyptic number.

2542031106420 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 2542031106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944578176000).

2542031106420 is an abundant number, since it is smaller than the sum of its proper divisors (5347125245580).

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

2542031106420 is a wasteful number, since it uses less digits than its factorization.

2542031106420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33215 (or 33200 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2542031106420 its reverse (246011302452), we get a palindrome (2788042408872).

It can be divided in two parts, 2542031 and 106420, that added together give a triangular number (2648451 = T₂₃₀₁).

The spelling of 2542031106420 in words is "two trillion, five hundred forty-two billion, thirty-one million, one hundred six thousand, four hundred twenty".