2105115264 has 384 divisors, whose sum is σ = 7479129600. Its totient is φ = 580608000.

The previous prime is 2105115137. The next prime is 2105115283. The reversal of 2105115264 is 4625115012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5249464 + ... + 5249864.

It is an arithmetic number, because the mean of its divisors is an integer number (19476900).

Almost surely, 2^2105115264 is an apocalyptic number.

2105115264 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 2105115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739564800).

2105115264 is an abundant number, since it is smaller than the sum of its proper divisors (5374014336).

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

2105115264 is a wasteful number, since it uses less digits than its factorization.

2105115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2105115264 is about 45881.5351094533. The cubic root of 2105115264 is about 1281.6180838812.

It can be divided in two parts, 21051 and 15264, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 2105115264 in words is "two billion, one hundred five million, one hundred fifteen thousand, two hundred sixty-four".