2952481923072 has 1120 divisors, whose sum is σ = 10299302703360. Its totient is φ = 833845985280.

The previous prime is 2952481923019. The next prime is 2952481923119. The reversal of 2952481923072 is 2703291842592.

2952481923072 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 481 + 92 + 3 + 0 + 72 = 666.

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

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, 7218782004 + ... + 7218782412.

Almost surely, 2^{2952481923072} is an apocalyptic number.

2952481923072 is a gapful number since it is divisible by the number (22) 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 2952481923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149651351680).

2952481923072 is an abundant number, since it is smaller than the sum of its proper divisors (7346820780288).

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

2952481923072 is a wasteful number, since it uses less digits than its factorization.

2952481923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2952481923072 in words is "two trillion, nine hundred fifty-two billion, four hundred eighty-one million, nine hundred twenty-three thousand, seventy-two".