2007279120 has 480 divisors, whose sum is σ = 8060912640. Its totient is φ = 408468480.

The previous prime is 2007279091. The next prime is 2007279139. The reversal of 2007279120 is 219727002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7632109 + ... + 7632371.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 2^2007279120 is an apocalyptic number.

2007279120 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 2007279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030456320).

2007279120 is an abundant number, since it is smaller than the sum of its proper divisors (6053633520).

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

2007279120 is a wasteful number, since it uses less digits than its factorization.

2007279120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 2007279120 is about 44802.6686705156. The cubic root of 2007279120 is about 1261.4477186747.

The spelling of 2007279120 in words is "two billion, seven million, two hundred seventy-nine thousand, one hundred twenty".