2995713470400 has 1008 divisors, whose sum is σ = 11919457105920. Its totient is φ = 656048332800.

The previous prime is 2995713470389. The next prime is 2995713470443. The reversal of 2995713470400 is 40743175992.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 750991606 + ... + 750995594.

It is an arithmetic number, because the mean of its divisors is an integer number (11824858240).

Almost surely, 2^{2995713470400} is an apocalyptic number.

2995713470400 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 2995713470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959728552960).

2995713470400 is an abundant number, since it is smaller than the sum of its proper divisors (8923743635520).

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

2995713470400 is a wasteful number, since it uses less digits than its factorization.

2995713470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 2995713470400 in words is "two trillion, nine hundred ninety-five billion, seven hundred thirteen million, four hundred seventy thousand, four hundred".