2965659840 has 672 divisors, whose sum is σ = 12647980800. Its totient is φ = 627056640.

The previous prime is 2965659833. The next prime is 2965659871. The reversal of 2965659840 is 489565692.

It is a happy number.

2965659840 is a `hidden beast` number, since 2 + 9 + 6 + 5 + 6 + 598 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7824771 + ... + 7825149.

It is an arithmetic number, because the mean of its divisors is an integer number (18821400).

Almost surely, 2^2965659840 is an apocalyptic number.

2965659840 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 2965659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323990400).

2965659840 is an abundant number, since it is smaller than the sum of its proper divisors (9682320960).

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

2965659840 is a wasteful number, since it uses less digits than its factorization.

2965659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2965659840 is about 54457.8721582105. The cubic root of 2965659840 is about 1436.7254296181.

The spelling of 2965659840 in words is "two billion, nine hundred sixty-five million, six hundred fifty-nine thousand, eight hundred forty".