2516164240 has 40 divisors (see below), whose sum is σ = 5862803328. Its totient is φ = 1004277120.

The previous prime is 2516164229. The next prime is 2516164249. The reversal of 2516164240 is 424616152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2516164249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3075 + ... + 71005.

Almost surely, 2^2516164240 is an apocalyptic number.

2516164240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516164240 is an abundant number, since it is smaller than the sum of its proper divisors (3346639088).

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

2516164240 is a wasteful number, since it uses less digits than its factorization.

2516164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68407 (or 68401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2516164240 is about 50161.3819586343. The cubic root of 2516164240 is about 1360.1276264311.

It can be divided in two parts, 25161 and 64240, that added together give a square (89401 = 299²).

The spelling of 2516164240 in words is "two billion, five hundred sixteen million, one hundred sixty-four thousand, two hundred forty".