2007825408 has 132 divisors (see below), whose sum is σ = 6013021560. Its totient is φ = 669192192.

The previous prime is 2007825403. The next prime is 2007825419. The reversal of 2007825408 is 8045287002.

It is a happy number.

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 (2007825403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244798 + ... + 252866.

Almost surely, 2^2007825408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006510780).

2007825408 is an abundant number, since it is smaller than the sum of its proper divisors (4005196152).

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

2007825408 is an frugal number, since it uses more digits than its factorization.

2007825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2007825408 is about 44808.7648568893. The cubic root of 2007825408 is about 1261.5621440909.

The spelling of 2007825408 in words is "two billion, seven million, eight hundred twenty-five thousand, four hundred eight".