2965170240 has 280 divisors, whose sum is σ = 10636422720. Its totient is φ = 784069632.

The previous prime is 2965170233. The next prime is 2965170253. The reversal of 2965170240 is 420715692.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2965170195 and 2965170204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3602469 + ... + 3603291.

It is an arithmetic number, because the mean of its divisors is an integer number (37987224).

Almost surely, 2^2965170240 is an apocalyptic number.

2965170240 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 2965170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318211360).

2965170240 is an abundant number, since it is smaller than the sum of its proper divisors (7671252480).

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

2965170240 is a wasteful number, since it uses less digits than its factorization.

2965170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2965170240 is about 54453.3767547982. The cubic root of 2965170240 is about 1436.6463623929.

The spelling of 2965170240 in words is "two billion, nine hundred sixty-five million, one hundred seventy thousand, two hundred forty".