2979452160000 has 1680 divisors, whose sum is σ = 11633447105280. Its totient is φ = 761425920000.

The previous prime is 2979452159977. The next prime is 2979452160007. The reversal of 2979452160000 is 612549792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979452160007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 28926719949 + ... + 28926720051.

It is an arithmetic number, because the mean of its divisors is an integer number (6924670896).

Almost surely, 2^{2979452160000} is an apocalyptic number.

2979452160000 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 2979452160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816723552640).

2979452160000 is an abundant number, since it is smaller than the sum of its proper divisors (8653994945280).

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

2979452160000 is an frugal number, since it uses more digits than its factorization.

2979452160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2979452160000 in words is "two trillion, nine hundred seventy-nine billion, four hundred fifty-two million, one hundred sixty thousand".