2055006264000 has 224 divisors, whose sum is σ = 6951137199552. Its totient is φ = 534635520000.

The previous prime is 2055006263963. The next prime is 2055006264023. The reversal of 2055006264000 is 4626005502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60211 + ... + 2028210.

It is an arithmetic number, because the mean of its divisors is an integer number (31031862498).

Almost surely, 2^{2055006264000} is an apocalyptic number.

2055006264000 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 2055006264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475568599776).

2055006264000 is an abundant number, since it is smaller than the sum of its proper divisors (4896130935552).

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

2055006264000 is a wasteful number, since it uses less digits than its factorization.

2055006264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088492 (or 2088472 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2055006264000 in words is "two trillion, fifty-five billion, six million, two hundred sixty-four thousand".