2965403040 has 96 divisors (see below), whose sum is σ = 9472692096. Its totient is φ = 779627520.

The previous prime is 2965403027. The next prime is 2965403099. The reversal of 2965403040 is 403045692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2965402992 and 2965403010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9427 + ... + 77586.

It is an arithmetic number, because the mean of its divisors is an integer number (98673876).

Almost surely, 2^2965403040 is an apocalyptic number.

2965403040 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 2965403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736346048).

2965403040 is an abundant number, since it is smaller than the sum of its proper divisors (6507289056).

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

2965403040 is a wasteful number, since it uses less digits than its factorization.

2965403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87102 (or 87094 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2965403040 is about 54455.5143213247. The cubic root of 2965403040 is about 1436.6839591686.

The spelling of 2965403040 in words is "two billion, nine hundred sixty-five million, four hundred three thousand, forty".