2007149820 has 192 divisors, whose sum is σ = 6205516800. Its totient is φ = 481738752.

The previous prime is 2007149801. The next prime is 2007149843. The reversal of 2007149820 is 289417002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10086081 + ... + 10086279.

It is an arithmetic number, because the mean of its divisors is an integer number (32320400).

Almost surely, 2^2007149820 is an apocalyptic number.

2007149820 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 2007149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102758400).

2007149820 is an abundant number, since it is smaller than the sum of its proper divisors (4198366980).

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

2007149820 is a wasteful number, since it uses less digits than its factorization.

2007149820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2007149820 is about 44801.2256528770. The cubic root of 2007149820 is about 1261.4206324745.

The spelling of 2007149820 in words is "two billion, seven million, one hundred forty-nine thousand, eight hundred twenty".