2612826720 has 480 divisors, whose sum is σ = 10696105728. Its totient is φ = 588321792.

The previous prime is 2612826719. The next prime is 2612826761. The reversal of 2612826720 is 276282162.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7529587 + ... + 7529933.

Almost surely, 2^2612826720 is an apocalyptic number.

2612826720 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 2612826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348052864).

2612826720 is an abundant number, since it is smaller than the sum of its proper divisors (8083279008).

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

2612826720 is a wasteful number, since it uses less digits than its factorization.

2612826720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2612826720 is about 51115.8167302451. The cubic root of 2612826720 is about 1377.3263925048.

The spelling of 2612826720 in words is "two billion, six hundred twelve million, eight hundred twenty-six thousand, seven hundred twenty".