2072246400 has 576 divisors, whose sum is σ = 8911780800. Its totient is φ = 447897600.

The previous prime is 2072246347. The next prime is 2072246413. The reversal of 2072246400 is 46422702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3830130 + ... + 3830670.

Almost surely, 2^2072246400 is an apocalyptic number.

2072246400 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 2072246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455890400).

2072246400 is an abundant number, since it is smaller than the sum of its proper divisors (6839534400).

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

2072246400 is a wasteful number, since it uses less digits than its factorization.

2072246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2072246400 is about 45521.9331751190. The cubic root of 2072246400 is about 1274.9127506617.

The spelling of 2072246400 in words is "two billion, seventy-two million, two hundred forty-six thousand, four hundred".