2075470342400 has 486 divisors, whose sum is σ = 6471029839302. Its totient is φ = 656835379200.

The previous prime is 2075470342367. The next prime is 2075470342433. The reversal of 2075470342400 is 42430745702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2075470342367) and next prime (2075470342433).

It can be written as a sum of positive squares in 9 ways, for example, as 1370622781696 + 704847560704 = 1170736^2 + 839552^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52978820 + ... + 53017980.

Almost surely, 2^{2075470342400} is an apocalyptic number.

2075470342400 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 2075470342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235514919651).

2075470342400 is an abundant number, since it is smaller than the sum of its proper divisors (4395559496902).

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

2075470342400 is a wasteful number, since it uses less digits than its factorization.

2075470342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39227 (or 39188 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 38.

The spelling of 2075470342400 in words is "two trillion, seventy-five billion, four hundred seventy million, three hundred forty-two thousand, four hundred".