2906064000 has 768 divisors, whose sum is σ = 12640492800. Its totient is φ = 642816000.

The previous prime is 2906063983. The next prime is 2906064017. The reversal of 2906064000 is 4606092.

It is an interprime number because it is at equal distance from previous prime (2906063983) and next prime (2906064017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93743985 + ... + 93744015.

It is an arithmetic number, because the mean of its divisors is an integer number (16458975).

Almost surely, 2^2906064000 is an apocalyptic number.

2906064000 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 2906064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320246400).

2906064000 is an abundant number, since it is smaller than the sum of its proper divisors (9734428800).

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

2906064000 is an equidigital number, since it uses as much as digits as its factorization.

2906064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2906064000 is about 53907.9214958247. The cubic root of 2906064000 is about 1427.0364236035.

The spelling of 2906064000 in words is "two billion, nine hundred six million, sixty-four thousand".