2155416264 has 128 divisors (see below), whose sum is σ = 6434812800. Its totient is φ = 666040320.

The previous prime is 2155416257. The next prime is 2155416283. The reversal of 2155416264 is 4626145512.

2155416264 is a `hidden beast` number, since 21 + 5 + 5 + 4 + 1 + 626 + 4 = 666.

It is a super-2 number, since 2×2155416264² = 9291638542231435392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241644 + ... + 250404.

It is an arithmetic number, because the mean of its divisors is an integer number (50271975).

Almost surely, 2^2155416264 is an apocalyptic number.

2155416264 is a gapful number since it is divisible by the number (24) 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 2155416264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217406400).

2155416264 is an abundant number, since it is smaller than the sum of its proper divisors (4279396536).

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

2155416264 is a wasteful number, since it uses less digits than its factorization.

2155416264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8850 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2155416264 is about 46426.4608170815. The cubic root of 2155416264 is about 1291.7457812788.

The spelling of 2155416264 in words is "two billion, one hundred fifty-five million, four hundred sixteen thousand, two hundred sixty-four".