2007983040 has 224 divisors, whose sum is σ = 7456627200. Its totient is φ = 448229376.

The previous prime is 2007983027. The next prime is 2007983059. The reversal of 2007983040 is 403897002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2007982992 and 2007983010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285486 + ... + 292434.

Almost surely, 2^2007983040 is an apocalyptic number.

2007983040 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 2007983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728313600).

2007983040 is an abundant number, since it is smaller than the sum of its proper divisors (5448644160).

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

2007983040 is a wasteful number, since it uses less digits than its factorization.

2007983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2007983040 is about 44810.5237639553. The cubic root of 2007983040 is about 1261.5951578113.

The spelling of 2007983040 in words is "two billion, seven million, nine hundred eighty-three thousand, forty".