2955905628480 has 560 divisors, whose sum is σ = 12296265252480. Its totient is φ = 659921375232.

The previous prime is 2955905628451. The next prime is 2955905628521. The reversal of 2955905628480 is 848265095592.

2955905628480 is a `hidden beast` number, since 2 + 9 + 5 + 5 + 90 + 5 + 62 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2955905628480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7612486 + ... + 7991354.

Almost surely, 2^{2955905628480} is an apocalyptic number.

2955905628480 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 2955905628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148132626240).

2955905628480 is an abundant number, since it is smaller than the sum of its proper divisors (9340359624000).

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

2955905628480 is a wasteful number, since it uses less digits than its factorization.

2955905628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378948 (or 378929 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 2955905628480 in words is "two trillion, nine hundred fifty-five billion, nine hundred five million, six hundred twenty-eight thousand, four hundred eighty".