2979801600000 has 624 divisors, whose sum is σ = 10076332823424. Its totient is φ = 782991360000.

The previous prime is 2979801599981. The next prime is 2979801600043. The reversal of 2979801600000 is 61089792.

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, 2803199469 + ... + 2803200531.

Almost surely, 2^{2979801600000} is an apocalyptic number.

2979801600000 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 2979801600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038166411712).

2979801600000 is an abundant number, since it is smaller than the sum of its proper divisors (7096531223424).

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

2979801600000 is an frugal number, since it uses more digits than its factorization.

2979801600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

Adding to 2979801600000 its reverse (61089792), we get a palindrome (2979862689792).

The spelling of 2979801600000 in words is "two trillion, nine hundred seventy-nine billion, eight hundred one million, six hundred thousand".