2645628480 has 392 divisors, whose sum is σ = 10314212544. Its totient is φ = 640742400.

The previous prime is 2645628463. The next prime is 2645628481. The reversal of 2645628480 is 848265462.

2645628480 is a `hidden beast` number, since 2 + 6 + 4 + 562 + 8 + 4 + 80 = 666.

It is a super-2 number, since 2×2645628480² = 13998700108374220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2645628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2565565 + ... + 2566595.

Almost surely, 2^2645628480 is an apocalyptic number.

2645628480 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 2645628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157106272).

2645628480 is an abundant number, since it is smaller than the sum of its proper divisors (7668584064).

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

2645628480 is a wasteful number, since it uses less digits than its factorization.

2645628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2645628480 is about 51435.6732239406. The cubic root of 2645628480 is about 1383.0661502984.

The spelling of 2645628480 in words is "two billion, six hundred forty-five million, six hundred twenty-eight thousand, four hundred eighty".