2187427680 has 288 divisors, whose sum is σ = 7819628544. Its totient is φ = 577414656.

The previous prime is 2187427667. The next prime is 2187427703. The reversal of 2187427680 is 867247812.

2187427680 = T₁₄₄ + T₁₄₅ + ... + T₂₃₅₈.

2187427680 is a `hidden beast` number, since 218 + 7 + 427 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4937539 + ... + 4937981.

It is an arithmetic number, because the mean of its divisors is an integer number (27151488).

Almost surely, 2^2187427680 is an apocalyptic number.

2187427680 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 2187427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909814272).

2187427680 is an abundant number, since it is smaller than the sum of its proper divisors (5632200864).

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

2187427680 is a wasteful number, since it uses less digits than its factorization.

2187427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2187427680 is about 46769.9441949635. The cubic root of 2187427680 is about 1298.1092197366.

The spelling of 2187427680 in words is "two billion, one hundred eighty-seven million, four hundred twenty-seven thousand, six hundred eighty".