2451156000 has 384 divisors, whose sum is σ = 8559323136. Its totient is φ = 611916800.

The previous prime is 2451155981. The next prime is 2451156041. The reversal of 2451156000 is 6511542.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22907947 + ... + 22908053.

It is an arithmetic number, because the mean of its divisors is an integer number (22289904).

Almost surely, 2^2451156000 is an apocalyptic number.

2451156000 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 2451156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279661568).

2451156000 is an abundant number, since it is smaller than the sum of its proper divisors (6108167136).

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

2451156000 is a wasteful number, since it uses less digits than its factorization.

2451156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2451156000 is about 49509.1506693460. The cubic root of 2451156000 is about 1348.3117442105.

Adding to 2451156000 its reverse (6511542), we get a palindrome (2457667542).

The spelling of 2451156000 in words is "two billion, four hundred fifty-one million, one hundred fifty-six thousand".