2145260880 has 240 divisors, whose sum is σ = 8259888000. Its totient is φ = 488788992.

The previous prime is 2145260867. The next prime is 2145260921. The reversal of 2145260880 is 880625412.

2145260880 is a `hidden beast` number, since 2 + 1 + 45 + 2 + 608 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2514534 + ... + 2515386.

It is an arithmetic number, because the mean of its divisors is an integer number (34416200).

Almost surely, 2^2145260880 is an apocalyptic number.

2145260880 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 2145260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129944000).

2145260880 is an abundant number, since it is smaller than the sum of its proper divisors (6114627120).

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

2145260880 is a wasteful number, since it uses less digits than its factorization.

2145260880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2145260880 is about 46316.9610402064. The cubic root of 2145260880 is about 1289.7138720008.

The spelling of 2145260880 in words is "two billion, one hundred forty-five million, two hundred sixty thousand, eight hundred eighty".