2007149760 has 672 divisors, whose sum is σ = 9006474240. Its totient is φ = 416102400.

The previous prime is 2007149719. The next prime is 2007149789. The reversal of 2007149760 is 679417002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 4656745 + ... + 4657175.

Almost surely, 2^2007149760 is an apocalyptic number.

2007149760 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 2007149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503237120).

2007149760 is an abundant number, since it is smaller than the sum of its proper divisors (6999324480).

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

2007149760 is a wasteful number, since it uses less digits than its factorization.

2007149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2007149760 is about 44801.2249832524. The cubic root of 2007149760 is about 1261.4206199052.

The spelling of 2007149760 in words is "two billion, seven million, one hundred forty-nine thousand, seven hundred sixty".