2964746400 has 576 divisors, whose sum is σ = 12275214336. Its totient is φ = 603648000.

The previous prime is 2964746387. The next prime is 2964746497. The reversal of 2964746400 is 46474692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11272669 + ... + 11272931.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^2964746400 is an apocalyptic number.

2964746400 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 2964746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137607168).

2964746400 is an abundant number, since it is smaller than the sum of its proper divisors (9310467936).

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

2964746400 is a wasteful number, since it uses less digits than its factorization.

2964746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2964746400 is about 54449.4848460479. The cubic root of 2964746400 is about 1436.5779079525.

The spelling of 2964746400 in words is "two billion, nine hundred sixty-four million, seven hundred forty-six thousand, four hundred".