2955668040 has 384 divisors, whose sum is σ = 10793109600. Its totient is φ = 700876800.

The previous prime is 2955668033. The next prime is 2955668099. The reversal of 2955668040 is 408665592.

2955668040 is a `hidden beast` number, since 2 + 9 + 5 + 566 + 80 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 54552996 + 2901115044 = 7386^2 + 53862^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 29263990 + ... + 29264090.

Almost surely, 2^2955668040 is an apocalyptic number.

2955668040 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 2955668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396554800).

2955668040 is an abundant number, since it is smaller than the sum of its proper divisors (7837441560).

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

2955668040 is a wasteful number, since it uses less digits than its factorization.

2955668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2955668040 is about 54366.0559540602. The cubic root of 2955668040 is about 1435.1100920364.

The spelling of 2955668040 in words is "two billion, nine hundred fifty-five million, six hundred sixty-eight thousand, forty".