2756436480 has 560 divisors, whose sum is σ = 11378182464. Its totient is φ = 627056640.

The previous prime is 2756436467. The next prime is 2756436493. The reversal of 2756436480 is 846346572.

2756436480 is a `hidden beast` number, since 2 + 7 + 564 + 3 + 6 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2756436467) and next prime (2756436493).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 13063575 + ... + 13063785.

Almost surely, 2^2756436480 is an apocalyptic number.

2756436480 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 2756436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689091232).

2756436480 is an abundant number, since it is smaller than the sum of its proper divisors (8621745984).

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

2756436480 is an frugal number, since it uses more digits than its factorization.

2756436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2756436480 is about 52501.7759699612. The cubic root of 2756436480 is about 1402.1118603357. Note that the first 3 decimals are identical.

The spelling of 2756436480 in words is "two billion, seven hundred fifty-six million, four hundred thirty-six thousand, four hundred eighty".