2608945920 has 216 divisors, whose sum is σ = 10316525856. Its totient is φ = 596312064.

The previous prime is 2608945909. The next prime is 2608945931. The reversal of 2608945920 is 295498062.

It is an interprime number because it is at equal distance from previous prime (2608945909) and next prime (2608945931).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64464 + ... + 96816.

Almost surely, 2^2608945920 is an apocalyptic number.

2608945920 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 2608945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158262928).

2608945920 is an abundant number, since it is smaller than the sum of its proper divisors (7707579936).

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

2608945920 is a wasteful number, since it uses less digits than its factorization.

2608945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32387 (or 32370 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2608945920 is about 51077.8417711634. The cubic root of 2608945920 is about 1376.6441458585.

The spelling of 2608945920 in words is "two billion, six hundred eight million, nine hundred forty-five thousand, nine hundred twenty".