2154152000 has 448 divisors, whose sum is σ = 7189378560. Its totient is φ = 617472000.

The previous prime is 2154151997. The next prime is 2154152023. The reversal of 2154152000 is 2514512.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8007866 + ... + 8008134.

It is an arithmetic number, because the mean of its divisors is an integer number (16047720).

Almost surely, 2^2154152000 is an apocalyptic number.

2154152000 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 2154152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2154152000 is an abundant number, since it is smaller than the sum of its proper divisors (5035226560).

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

2154152000 is a wasteful number, since it uses less digits than its factorization.

2154152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2154152000 is about 46412.8430501731. The cubic root of 2154152000 is about 1291.4931731367.

Adding to 2154152000 its reverse (2514512), we get a palindrome (2156666512).

The spelling of 2154152000 in words is "two billion, one hundred fifty-four million, one hundred fifty-two thousand".