2906325734400 has 792 divisors, whose sum is σ = 11373336175968. Its totient is φ = 703242240000.

The previous prime is 2906325734363. The next prime is 2906325734407. The reversal of 2906325734400 is 44375236092.

2906325734400 is a `hidden beast` number, since 2 + 9 + 0 + 6 + 32 + 573 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 (2906325734407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2460901810 + ... + 2460902990.

Almost surely, 2^{2906325734400} is an apocalyptic number.

2906325734400 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 2906325734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686668087984).

2906325734400 is an abundant number, since it is smaller than the sum of its proper divisors (8467010441568).

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

2906325734400 is a wasteful number, since it uses less digits than its factorization.

2906325734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2906325734400 in words is "two trillion, nine hundred six billion, three hundred twenty-five million, seven hundred thirty-four thousand, four hundred".