2154002400 has 216 divisors, whose sum is σ = 8286360264. Its totient is φ = 522163200.

The previous prime is 2154002369. The next prime is 2154002401. The reversal of 2154002400 is 42004512.

2154002400 is a `hidden beast` number, since 21 + 5 + 400 + 240 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154002401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65602 + ... + 92798.

It is an arithmetic number, because the mean of its divisors is an integer number (38362779).

Almost surely, 2^2154002400 is an apocalyptic number.

2154002400 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 2154002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143180132).

2154002400 is an abundant number, since it is smaller than the sum of its proper divisors (6132357864).

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

2154002400 is a wasteful number, since it uses less digits than its factorization.

2154002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27234 (or 27218 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2154002400 is about 46411.2313993068. The cubic root of 2154002400 is about 1291.4632755480.

Adding to 2154002400 its reverse (42004512), we get a palindrome (2196006912).

The spelling of 2154002400 in words is "two billion, one hundred fifty-four million, two thousand, four hundred".