2746652480 has 224 divisors, whose sum is σ = 7748552448. Its totient is φ = 914227200.

The previous prime is 2746652473. The next prime is 2746652497. The reversal of 2746652480 is 842566472.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8831525 + ... + 8831835.

It is an arithmetic number, because the mean of its divisors is an integer number (34591752).

Almost surely, 2^2746652480 is an apocalyptic number.

2746652480 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 2746652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874276224).

2746652480 is an abundant number, since it is smaller than the sum of its proper divisors (5001899968).

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

2746652480 is a wasteful number, since it uses less digits than its factorization.

2746652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The square root of 2746652480 is about 52408.5153386356. The cubic root of 2746652480 is about 1400.4509567666.

The spelling of 2746652480 in words is "two billion, seven hundred forty-six million, six hundred fifty-two thousand, four hundred eighty".