2007299779200 has 1728 divisors, whose sum is σ = 8228805432120. Its totient is φ = 463955558400.

The previous prime is 2007299779019. The next prime is 2007299779237. The reversal of 2007299779200 is 29779927002.

It can be written as a sum of positive squares in 12 ways, for example, as 7745408064 + 1999554371136 = 88008^2 + 1414056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7246569462 + ... + 7246569738.

Almost surely, 2^{2007299779200} is an apocalyptic number.

2007299779200 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 2007299779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114402716060).

2007299779200 is an abundant number, since it is smaller than the sum of its proper divisors (6221505652920).

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

2007299779200 is a wasteful number, since it uses less digits than its factorization.

2007299779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 2007299779200 in words is "two trillion, seven billion, two hundred ninety-nine million, seven hundred seventy-nine thousand, two hundred".