2154196800 has 756 divisors, whose sum is σ = 9242060256. Its totient is φ = 474163200.

The previous prime is 2154196711. The next prime is 2154196823. The reversal of 2154196800 is 86914512.

2154196800 is a `hidden beast` number, since 21 + 541 + 96 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30340765 + ... + 30340835.

Almost surely, 2^2154196800 is an apocalyptic number.

2154196800 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 2154196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621030128).

2154196800 is an abundant number, since it is smaller than the sum of its proper divisors (7087863456).

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

2154196800 is a wasteful number, since it uses less digits than its factorization.

2154196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2154196800 is about 46413.3256726988. The cubic root of 2154196800 is about 1291.5021261560.

It can be divided in two parts, 21541 and 96800, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 2154196800 in words is "two billion, one hundred fifty-four million, one hundred ninety-six thousand, eight hundred".