2154136800 has 72 divisors (see below), whose sum is σ = 7011723096. Its totient is φ = 574435840.

The previous prime is 2154136753. The next prime is 2154136801. The reversal of 2154136800 is 86314512.

It is a super-2 number, since 2×2154136800² = 9280610706228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154136801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446379 + ... + 451178.

It is an arithmetic number, because the mean of its divisors is an integer number (97385043).

Almost surely, 2^2154136800 is an apocalyptic number.

2154136800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154136800 is an abundant number, since it is smaller than the sum of its proper divisors (4857586296).

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

2154136800 is a wasteful number, since it uses less digits than its factorization.

2154136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897580 (or 897567 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2154136800 is about 46412.6793021045. The cubic root of 2154136800 is about 1291.4901354770.

The spelling of 2154136800 in words is "two billion, one hundred fifty-four million, one hundred thirty-six thousand, eight hundred".