2151468000 has 384 divisors, whose sum is σ = 8548001280. Its totient is φ = 521280000.

The previous prime is 2151467957. The next prime is 2151468013. The reversal of 2151468000 is 8641512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187095 + ... + 1188905.

It is an arithmetic number, because the mean of its divisors is an integer number (22260420).

Almost surely, 2^2151468000 is an apocalyptic number.

2151468000 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 2151468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274000640).

2151468000 is an abundant number, since it is smaller than the sum of its proper divisors (6396533280).

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

2151468000 is a wasteful number, since it uses less digits than its factorization.

2151468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2151468000 is about 46383.9196273881. The cubic root of 2151468000 is about 1290.9565647122.

The spelling of 2151468000 in words is "two billion, one hundred fifty-one million, four hundred sixty-eight thousand".