2748157440 has 640 divisors, whose sum is σ = 11087290368. Its totient is φ = 566231040.

The previous prime is 2748157429. The next prime is 2748157441. The reversal of 2748157440 is 447518472.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2748157392 and 2748157401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748157441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28331472 + ... + 28331568.

Almost surely, 2^2748157440 is an apocalyptic number.

2748157440 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 2748157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543645184).

2748157440 is an abundant number, since it is smaller than the sum of its proper divisors (8339132928).

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

2748157440 is a wasteful number, since it uses less digits than its factorization.

2748157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The square root of 2748157440 is about 52422.8713444809. The cubic root of 2748157440 is about 1400.7066908362.

The spelling of 2748157440 in words is "two billion, seven hundred forty-eight million, one hundred fifty-seven thousand, four hundred forty".