2965455885042 has 240 divisors, whose sum is σ = 7823440076760. Its totient is φ = 837045715968.

The previous prime is 2965455885023. The next prime is 2965455885071. The reversal of 2965455885042 is 2405885545692.

2965455885042 is a `hidden beast` number, since 2 + 9 + 6 + 5 + 4 + 5 + 588 + 5 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1883978601561 + 1081477283481 = 1372581^2 + 1039941^2 .

It is a super-2 number, since 2×2965455885042² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 284341884 + ... + 284352312.

Almost surely, 2^{2965455885042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965455885042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911720038380).

2965455885042 is an abundant number, since it is smaller than the sum of its proper divisors (4857984191718).

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

2965455885042 is a wasteful number, since it uses less digits than its factorization.

2965455885042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 2965455885042 in words is "two trillion, nine hundred sixty-five billion, four hundred fifty-five million, eight hundred eighty-five thousand, forty-two".