2079979200 has 504 divisors, whose sum is σ = 8185684416. Its totient is φ = 497664000.

The previous prime is 2079979199. The next prime is 2079979201. The reversal of 2079979200 is 29799702.

It is an interprime number because it is at equal distance from previous prime (2079979199) and next prime (2079979201).

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

It is not an unprimeable number, because it can be changed into a prime (2079979201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7675065 + ... + 7675335.

Almost surely, 2^2079979200 is an apocalyptic number.

2079979200 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 2079979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092842208).

2079979200 is an abundant number, since it is smaller than the sum of its proper divisors (6105705216).

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

2079979200 is a wasteful number, since it uses less digits than its factorization.

2079979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 2079979200 is about 45606.7889683104. The cubic root of 2079979200 is about 1276.4966047549.

It can be divided in two parts, 20799 and 79200, that added together give a palindrome (99999).

The spelling of 2079979200 in words is "two billion, seventy-nine million, nine hundred seventy-nine thousand, two hundred".