2993540000000 has 432 divisors, whose sum is σ = 8216599473264. Its totient is φ = 1087680000000.

The previous prime is 2993539999999. The next prime is 2993540000057. The reversal of 2993540000000 is 453992.

It can be written as a sum of positive squares in 8 ways, for example, as 2616681523456 + 376858476544 = 1617616^2 + 613888^2 .

It is a super-2 number, since 2×2993540000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419999382 + ... + 2420000618.

Almost surely, 2^{2993540000000} is an apocalyptic number.

2993540000000 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 2993540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108299736632).

2993540000000 is an abundant number, since it is smaller than the sum of its proper divisors (5223059473264).

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

2993540000000 is an frugal number, since it uses more digits than its factorization.

2993540000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

Adding to 2993540000000 its reverse (453992), we get a palindrome (2993540453992).

The spelling of 2993540000000 in words is "two trillion, nine hundred ninety-three billion, five hundred forty million", and thus it is an aban number.