2852462400 has 168 divisors, whose sum is σ = 9851318880. Its totient is φ = 720599040.

The previous prime is 2852462387. The next prime is 2852462429. The reversal of 2852462400 is 42642582.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75562 + ... + 106838.

Almost surely, 2^2852462400 is an apocalyptic number.

2852462400 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 2852462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925659440).

2852462400 is an abundant number, since it is smaller than the sum of its proper divisors (6998856480).

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

2852462400 is a wasteful number, since it uses less digits than its factorization.

2852462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31321 (or 31306 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2852462400 is about 53408.4487698342. The cubic root of 2852462400 is about 1418.2081478585.

The spelling of 2852462400 in words is "two billion, eight hundred fifty-two million, four hundred sixty-two thousand, four hundred".