2071346400 has 216 divisors, whose sum is σ = 7460709984. Its totient is φ = 540518400.

The previous prime is 2071346399. The next prime is 2071346401. The reversal of 2071346400 is 46431702.

2071346400 is a `hidden beast` number, since 2 + 0 + 7 + 13 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2071346399) and next prime (2071346401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071346401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335340 + ... + 341460.

It is an arithmetic number, because the mean of its divisors is an integer number (34540324).

Almost surely, 2^2071346400 is an apocalyptic number.

2071346400 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 2071346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730354992).

2071346400 is an abundant number, since it is smaller than the sum of its proper divisors (5389363584).

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

2071346400 is a wasteful number, since it uses less digits than its factorization.

2071346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2071346400 is about 45512.0467568753. The cubic root of 2071346400 is about 1274.7281542693.

The spelling of 2071346400 in words is "two billion, seventy-one million, three hundred forty-six thousand, four hundred".