2007295668 has 168 divisors, whose sum is σ = 6228526080. Its totient is φ = 553573440.

The previous prime is 2007295651. The next prime is 2007295691. The reversal of 2007295668 is 8665927002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 590253 + ... + 593643.

It is an arithmetic number, because the mean of its divisors is an integer number (37074560).

Almost surely, 2^2007295668 is an apocalyptic number.

2007295668 is a gapful number since it is divisible by the number (28) 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 2007295668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114263040).

2007295668 is an abundant number, since it is smaller than the sum of its proper divisors (4221230412).

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

2007295668 is a wasteful number, since it uses less digits than its factorization.

2007295668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2007295668 is about 44802.8533466341. The cubic root of 2007295668 is about 1261.4511851216.

The spelling of 2007295668 in words is "two billion, seven million, two hundred ninety-five thousand, six hundred sixty-eight".