2671490484000 has 1536 divisors, whose sum is σ = 10740981888000. Its totient is φ = 652866739200.

The previous prime is 2671490483957. The next prime is 2671490484007. The reversal of 2671490484000 is 4840941762.

2671490484000 is a `hidden beast` number, since 2 + 67 + 149 + 0 + 48 + 400 + 0 = 666.

It is a super-2 number, since 2×2671490484000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671490484007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19219355931 + ... + 19219356069.

It is an arithmetic number, because the mean of its divisors is an integer number (6992826750).

Almost surely, 2^{2671490484000} is an apocalyptic number.

2671490484000 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 2671490484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370490944000).

2671490484000 is an abundant number, since it is smaller than the sum of its proper divisors (8069491404000).

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

2671490484000 is an frugal number, since it uses more digits than its factorization.

2671490484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2671490484000 in words is "two trillion, six hundred seventy-one billion, four hundred ninety million, four hundred eighty-four thousand".