2151809280 has 576 divisors, whose sum is σ = 8388576000. Its totient is φ = 520224768.

The previous prime is 2151809227. The next prime is 2151809291. The reversal of 2151809280 is 829081512.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 19042504 + ... + 19042616.

It is an arithmetic number, because the mean of its divisors is an integer number (14563500).

Almost surely, 2^2151809280 is an apocalyptic number.

2151809280 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 2151809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194288000).

2151809280 is an abundant number, since it is smaller than the sum of its proper divisors (6236766720).

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

2151809280 is a wasteful number, since it uses less digits than its factorization.

2151809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2151809280 is about 46387.5983426605. The cubic root of 2151809280 is about 1291.0248211093.

It can be divided in two parts, 2151809 and 280, that added together give a square (2152089 = 1467²).

The spelling of 2151809280 in words is "two billion, one hundred fifty-one million, eight hundred nine thousand, two hundred eighty".