2140754580 has 144 divisors (see below), whose sum is σ = 6895010304. Its totient is φ = 535772160.

The previous prime is 2140754531. The next prime is 2140754593. The reversal of 2140754580 is 854570412.

2140754580 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 75 + 4 + 580 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416025 + ... + 1417535.

It is an arithmetic number, because the mean of its divisors is an integer number (47882016).

Almost surely, 2^2140754580 is an apocalyptic number.

2140754580 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 2140754580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447505152).

2140754580 is an abundant number, since it is smaller than the sum of its proper divisors (4754255724).

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

2140754580 is a wasteful number, since it uses less digits than its factorization.

2140754580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2140754580 is about 46268.2891406198. The cubic root of 2140754580 is about 1288.8101883123.

The spelling of 2140754580 in words is "two billion, one hundred forty million, seven hundred fifty-four thousand, five hundred eighty".