2947347648000 has 2400 divisors, whose sum is σ = 13128892384608. Its totient is φ = 654925824000.

The previous prime is 2947347647989. The next prime is 2947347648031. The reversal of 2947347648000 is 8467437492.

2947347648000 is a `hidden beast` number, since 2 + 94 + 7 + 3 + 4 + 76 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×2947347648000² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10414655859 + ... + 10414656141.

Almost surely, 2^{2947347648000} is an apocalyptic number.

2947347648000 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 2947347648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564446192304).

2947347648000 is an abundant number, since it is smaller than the sum of its proper divisors (10181544736608).

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

2947347648000 is an equidigital number, since it uses as much as digits as its factorization.

2947347648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2947347648000 in words is "two trillion, nine hundred forty-seven billion, three hundred forty-seven million, six hundred forty-eight thousand".