2011837440000 has 560 divisors, whose sum is σ = 6744769957728. Its totient is φ = 533200896000.

The previous prime is 2011837439939. The next prime is 2011837440013. The reversal of 2011837440000 is 447381102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2011837440000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3486719712 + ... + 3486720288.

Almost surely, 2^{2011837440000} is an apocalyptic number.

2011837440000 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 2011837440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372384978864).

2011837440000 is an abundant number, since it is smaller than the sum of its proper divisors (4732932517728).

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

2011837440000 is an frugal number, since it uses more digits than its factorization.

2011837440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 2011837440000 in words is "two trillion, eleven billion, eight hundred thirty-seven million, four hundred forty thousand".