2042011500000 has 336 divisors, whose sum is σ = 6881539727664. Its totient is φ = 529804800000.

The previous prime is 2042011499953. The next prime is 2042011500029. The reversal of 2042011500000 is 51102402.

It is a super-2 number, since 2×2042011500000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55481604 + ... + 55518396.

It is an arithmetic number, because the mean of its divisors is an integer number (20480772999).

Almost surely, 2^{2042011500000} is an apocalyptic number.

2042011500000 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 2042011500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440769863832).

2042011500000 is an abundant number, since it is smaller than the sum of its proper divisors (4839528227664).

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

2042011500000 is an frugal number, since it uses more digits than its factorization.

2042011500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36873 (or 36840 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 2042011500000 its reverse (51102402), we get a palindrome (2042062602402).

The spelling of 2042011500000 in words is "two trillion, forty-two billion, eleven million, five hundred thousand".