2995948388160 has 2016 divisors, whose sum is σ = 13318323782400. Its totient is φ = 612440801280.

The previous prime is 2995948388131. The next prime is 2995948388221. The reversal of 2995948388160 is 618838495992.

2995948388160 is a `hidden beast` number, since 2 + 9 + 9 + 5 + 9 + 483 + 8 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9633274405 + ... + 9633274715.

It is an arithmetic number, because the mean of its divisors is an integer number (6606311400).

Almost surely, 2^{2995948388160} is an apocalyptic number.

2995948388160 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 2995948388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659161891200).

2995948388160 is an abundant number, since it is smaller than the sum of its proper divisors (10322375394240).

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

2995948388160 is a wasteful number, since it uses less digits than its factorization.

2995948388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 2995948388160 in words is "two trillion, nine hundred ninety-five billion, nine hundred forty-eight million, three hundred eighty-eight thousand, one hundred sixty".