2007541368 has 384 divisors, whose sum is σ = 6976800000. Its totient is φ = 531691776.

The previous prime is 2007541357. The next prime is 2007541421. The reversal of 2007541368 is 8631457002.

It is a super-2 number, since 2×2007541368² = 8060444688462622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13473358 + ... + 13473506.

It is an arithmetic number, because the mean of its divisors is an integer number (18168750).

Almost surely, 2^2007541368 is an apocalyptic number.

2007541368 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 2007541368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400000).

2007541368 is an abundant number, since it is smaller than the sum of its proper divisors (4969258632).

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

2007541368 is a wasteful number, since it uses less digits than its factorization.

2007541368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2007541368 is about 44805.5952755903. The cubic root of 2007541368 is about 1261.5026516986.

The spelling of 2007541368 in words is "two billion, seven million, five hundred forty-one thousand, three hundred sixty-eight".