2955644640 has 480 divisors, whose sum is σ = 11479872096. Its totient is φ = 711659520.

The previous prime is 2955644597. The next prime is 2955644641. The reversal of 2955644640 is 464465592.

2955644640 is a `hidden beast` number, since 2 + 9 + 5 + 564 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955644641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8929275 + ... + 8929605.

Almost surely, 2^2955644640 is an apocalyptic number.

2955644640 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 2955644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739936048).

2955644640 is an abundant number, since it is smaller than the sum of its proper divisors (8524227456).

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

2955644640 is a wasteful number, since it uses less digits than its factorization.

2955644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2955644640 is about 54365.8407458213. The cubic root of 2955644640 is about 1435.1063047747.

The spelling of 2955644640 in words is "two billion, nine hundred fifty-five million, six hundred forty-four thousand, six hundred forty".