2007815040 has 640 divisors, whose sum is σ = 8957329920. Its totient is φ = 416378880.

The previous prime is 2007815011. The next prime is 2007815041. The reversal of 2007815040 is 405187002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2007814995 and 2007815013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007815041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991429 + ... + 3991931.

It is an arithmetic number, because the mean of its divisors is an integer number (13995828).

Almost surely, 2^2007815040 is an apocalyptic number.

2007815040 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 2007815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

2007815040 is an abundant number, since it is smaller than the sum of its proper divisors (6949514880).

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

2007815040 is a wasteful number, since it uses less digits than its factorization.

2007815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2007815040 is about 44808.6491650887. The cubic root of 2007815040 is about 1261.5599726041.

The spelling of 2007815040 in words is "two billion, seven million, eight hundred fifteen thousand, forty".