2007150368220 has 144 divisors (see below), whose sum is σ = 6268170260352. Its totient is φ = 519585010560.

The previous prime is 2007150368219. The next prime is 2007150368221. The reversal of 2007150368220 is 228630517002.

2007150368220 is a `hidden beast` number, since 2 + 0 + 0 + 71 + 5 + 0 + 368 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2007150368219) and next prime (2007150368221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007150368221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466155 + ... + 2057085.

Almost surely, 2^{2007150368220} is an apocalyptic number.

2007150368220 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 2007150368220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134085130176).

2007150368220 is an abundant number, since it is smaller than the sum of its proper divisors (4261019892132).

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

2007150368220 is a wasteful number, since it uses less digits than its factorization.

2007150368220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591152 (or 1591147 counting only the distinct ones).

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

The spelling of 2007150368220 in words is "two trillion, seven billion, one hundred fifty million, three hundred sixty-eight thousand, two hundred twenty".