2007284160 has 224 divisors, whose sum is σ = 7316370432. Its totient is φ = 456744960.

The previous prime is 2007284143. The next prime is 2007284171. The reversal of 2007284160 is 614827002.

2007284160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887789 + ... + 1888851.

It is an arithmetic number, because the mean of its divisors is an integer number (32662368).

Almost surely, 2^2007284160 is an apocalyptic number.

2007284160 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 2007284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658185216).

2007284160 is an abundant number, since it is smaller than the sum of its proper divisors (5309086272).

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

2007284160 is a wasteful number, since it uses less digits than its factorization.

2007284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2007284160 is about 44802.7249171298. The cubic root of 2007284160 is about 1261.4487744474.

The spelling of 2007284160 in words is "two billion, seven million, two hundred eighty-four thousand, one hundred sixty".