2754903960 has 320 divisors, whose sum is σ = 9625366080. Its totient is φ = 706268160.

The previous prime is 2754903929. The next prime is 2754903961. The reversal of 2754903960 is 693094572.

It is a happy number.

2754903960 is a `hidden beast` number, since 2 + 75 + 490 + 3 + 96 + 0 = 666.

2754903960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754903961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10474789 + ... + 10475051.

It is an arithmetic number, because the mean of its divisors is an integer number (30079269).

Almost surely, 2^2754903960 is an apocalyptic number.

2754903960 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 2754903960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812683040).

2754903960 is an abundant number, since it is smaller than the sum of its proper divisors (6870462120).

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

2754903960 is a wasteful number, since it uses less digits than its factorization.

2754903960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2754903960 is about 52487.1790059249. The cubic root of 2754903960 is about 1401.8519640494.

The spelling of 2754903960 in words is "two billion, seven hundred fifty-four million, nine hundred three thousand, nine hundred sixty".