2746992960 has 224 divisors, whose sum is σ = 9729216000. Its totient is φ = 729630720.

The previous prime is 2746992943. The next prime is 2746992967. The reversal of 2746992960 is 692996472.

2746992960 is a `hidden beast` number, since 2 + 7 + 469 + 92 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2746992897 and 2746992906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746992967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3014905 + ... + 3015815.

It is an arithmetic number, because the mean of its divisors is an integer number (43434000).

Almost surely, 2^2746992960 is an apocalyptic number.

2746992960 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 2746992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608000).

2746992960 is an abundant number, since it is smaller than the sum of its proper divisors (6982223040).

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

2746992960 is a wasteful number, since it uses less digits than its factorization.

2746992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 2746992960 is about 52411.7635650624. The cubic root of 2746992960 is about 1400.5088218520.

The spelling of 2746992960 in words is "two billion, seven hundred forty-six million, nine hundred ninety-two thousand, nine hundred sixty".