2746005504 has 192 divisors, whose sum is σ = 8189475840. Its totient is φ = 811008000.

The previous prime is 2746005487. The next prime is 2746005523. The reversal of 2746005504 is 4055006472.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770449 + ... + 2771439.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^2746005504 is an apocalyptic number.

2746005504 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 2746005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2746005504 is an abundant number, since it is smaller than the sum of its proper divisors (5443470336).

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

2746005504 is a wasteful number, since it uses less digits than its factorization.

2746005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2746005504 is about 52402.3425430581. The cubic root of 2746005504 is about 1400.3409890496.

The spelling of 2746005504 in words is "two billion, seven hundred forty-six million, five thousand, five hundred four".