2965703040 has 384 divisors, whose sum is σ = 11204593920. Its totient is φ = 719585280.

The previous prime is 2965703029. The next prime is 2965703051. The reversal of 2965703040 is 403075692.

It is an interprime number because it is at equal distance from previous prime (2965703029) and next prime (2965703051).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2965702986 and 2965703004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3035032 + ... + 3036008.

It is an arithmetic number, because the mean of its divisors is an integer number (29178630).

Almost surely, 2^2965703040 is an apocalyptic number.

2965703040 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 2965703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602296960).

2965703040 is an abundant number, since it is smaller than the sum of its proper divisors (8238890880).

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

2965703040 is a wasteful number, since it uses less digits than its factorization.

2965703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2965703040 is about 54458.2687936368. The cubic root of 2965703040 is about 1436.7324057202.

The spelling of 2965703040 in words is "two billion, nine hundred sixty-five million, seven hundred three thousand, forty".