1952256000 has 416 divisors, whose sum is σ = 6869431296. Its totient is φ = 491520000.

The previous prime is 1952255999. The next prime is 1952256011. The reversal of 1952256000 is 6522591.

It is a happy number.

It is a super-2 number, since 2×1952256000² = 7622606979072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47615980 + ... + 47616020.

It is an arithmetic number, because the mean of its divisors is an integer number (16513056).

Almost surely, 2^1952256000 is an apocalyptic number.

1952256000 is a gapful number since it is divisible by the number (10) 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 1952256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434715648).

1952256000 is an abundant number, since it is smaller than the sum of its proper divisors (4917175296).

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

1952256000 is an equidigital number, since it uses as much as digits as its factorization.

1952256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1952256000 is about 44184.3411176403. The cubic root of 1952256000 is about 1249.8145858320.

Adding to 1952256000 its reverse (6522591), we get a palindrome (1958778591).

The spelling of 1952256000 in words is "one billion, nine hundred fifty-two million, two hundred fifty-six thousand".