2748849600 has 336 divisors, whose sum is σ = 10758025728. Its totient is φ = 600821760.

The previous prime is 2748849583. The next prime is 2748849601. The reversal of 2748849600 is 69488472.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2748849600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748849601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771022 + ... + 774578.

Almost surely, 2^2748849600 is an apocalyptic number.

2748849600 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 2748849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379012864).

2748849600 is an abundant number, since it is smaller than the sum of its proper divisors (8009176128).

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

2748849600 is a wasteful number, since it uses less digits than its factorization.

2748849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2748849600 is about 52429.4726275212. The cubic root of 2748849600 is about 1400.8242765011.

The spelling of 2748849600 in words is "two billion, seven hundred forty-eight million, eight hundred forty-nine thousand, six hundred".