2985746400 has 1152 divisors, whose sum is σ = 13999104000. Its totient is φ = 609638400.

The previous prime is 2985746383. The next prime is 2985746429. The reversal of 2985746400 is 46475892.

It is a happy number.

It is a super-2 number, since 2×2985746400² = 17829363130225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96314385 + ... + 96314415.

It is an arithmetic number, because the mean of its divisors is an integer number (12152000).

Almost surely, 2^2985746400 is an apocalyptic number.

2985746400 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 2985746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552000).

2985746400 is an abundant number, since it is smaller than the sum of its proper divisors (11013357600).

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

2985746400 is a wasteful number, since it uses less digits than its factorization.

2985746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2985746400 is about 54641.9838585679. The cubic root of 2985746400 is about 1439.9618045424.

The spelling of 2985746400 in words is "two billion, nine hundred eighty-five million, seven hundred forty-six thousand, four hundred".