2451312000 has 384 divisors, whose sum is σ = 9122349600. Its totient is φ = 630067200.

The previous prime is 2451311939. The next prime is 2451312013. The reversal of 2451312000 is 2131542.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4175707 + ... + 4176293.

Almost surely, 2^2451312000 is an apocalyptic number.

2451312000 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 2451312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561174800).

2451312000 is an abundant number, since it is smaller than the sum of its proper divisors (6671037600).

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

2451312000 is a wasteful number, since it uses less digits than its factorization.

2451312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2451312000 is about 49510.7261106116. The cubic root of 2451312000 is about 1348.3403473363.

Adding to 2451312000 its reverse (2131542), we get a palindrome (2453443542).

The spelling of 2451312000 in words is "two billion, four hundred fifty-one million, three hundred twelve thousand".