2155002400 has 72 divisors (see below), whose sum is σ = 5301316944. Its totient is φ = 855379200.

The previous prime is 2155002391. The next prime is 2155002407. The reversal of 2155002400 is 42005512.

It is not an unprimeable number, because it can be changed into a prime (2155002407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94519 + ... + 115081.

It is an arithmetic number, because the mean of its divisors is an integer number (73629402).

Almost surely, 2^2155002400 is an apocalyptic number.

2155002400 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 2155002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650658472).

2155002400 is an abundant number, since it is smaller than the sum of its proper divisors (3146314544).

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

2155002400 is a wasteful number, since it uses less digits than its factorization.

2155002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20714 (or 20701 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2155002400 is about 46422.0034035585. The cubic root of 2155002400 is about 1291.6630994467.

Adding to 2155002400 its reverse (42005512), we get a palindrome (2197007912).

The spelling of 2155002400 in words is "two billion, one hundred fifty-five million, two thousand, four hundred".