2996015205456 has 480 divisors, whose sum is σ = 11105123512320. Its totient is φ = 755800201728.

The previous prime is 2996015205383. The next prime is 2996015205457. The reversal of 2996015205456 is 6545025106992.

2996015205456 is a `hidden beast` number, since 2 + 9 + 9 + 60 + 1 + 520 + 5 + 4 + 56 = 666.

It is a super-2 number, since 2×2996015205456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996015205457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11626845 + ... + 11881731.

It is an arithmetic number, because the mean of its divisors is an integer number (23135673984).

Almost surely, 2^{2996015205456} is an apocalyptic number.

2996015205456 is a gapful number since it is divisible by the number (26) 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 2996015205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552561756160).

2996015205456 is an abundant number, since it is smaller than the sum of its proper divisors (8109108306864).

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

2996015205456 is a wasteful number, since it uses less digits than its factorization.

2996015205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254960 (or 254935 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 2996015205456 in words is "two trillion, nine hundred ninety-six billion, fifteen million, two hundred five thousand, four hundred fifty-six".