2074742432400 has 480 divisors, whose sum is σ = 7367174470656. Its totient is φ = 494887680000.

The previous prime is 2074742432393. The next prime is 2074742432429. The reversal of 2074742432400 is 42342474702.

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, 535139262 + ... + 535143138.

Almost surely, 2^{2074742432400} is an apocalyptic number.

2074742432400 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 2074742432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683587235328).

2074742432400 is an abundant number, since it is smaller than the sum of its proper divisors (5292432038256).

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

2074742432400 is a wasteful number, since it uses less digits than its factorization.

2074742432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 39.

The spelling of 2074742432400 in words is "two trillion, seventy-four billion, seven hundred forty-two million, four hundred thirty-two thousand, four hundred".