2542161838000 has 160 divisors (see below), whose sum is σ = 6303041454528. Its totient is φ = 991355904000.

The previous prime is 2542161837953. The next prime is 2542161838061. The reversal of 2542161838000 is 8381612452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12900210 + ... + 13095790.

Almost surely, 2^{2542161838000} is an apocalyptic number.

2542161838000 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 2542161838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151520727264).

2542161838000 is an abundant number, since it is smaller than the sum of its proper divisors (3760879616528).

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

2542161838000 is a wasteful number, since it uses less digits than its factorization.

2542161838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195768 (or 195752 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 2542161838000 in words is "two trillion, five hundred forty-two billion, one hundred sixty-one million, eight hundred thirty-eight thousand".