2451504000 has 256 divisors, whose sum is σ = 8867439360. Its totient is φ = 594176000.

The previous prime is 2451503993. The next prime is 2451504007. The reversal of 2451504000 is 4051542.

It is an interprime number because it is at equal distance from previous prime (2451503993) and next prime (2451504007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451504007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525679 + ... + 530321.

It is an arithmetic number, because the mean of its divisors is an integer number (34638435).

Almost surely, 2^2451504000 is an apocalyptic number.

2451504000 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 2451504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433719680).

2451504000 is an abundant number, since it is smaller than the sum of its proper divisors (6415935360).

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

2451504000 is a wasteful number, since it uses less digits than its factorization.

2451504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2451504000 is about 49512.6650464303. The cubic root of 2451504000 is about 1348.3755495176.

Adding to 2451504000 its reverse (4051542), we get a palindrome (2455555542).

It can be divided in two parts, 245 and 1504000, that added together give a triangular number (1504245 = T₁₇₃₄).

The spelling of 2451504000 in words is "two billion, four hundred fifty-one million, five hundred four thousand".