2758505040 has 240 divisors, whose sum is σ = 9562512960. Its totient is φ = 712212480.

The previous prime is 2758505011. The next prime is 2758505041. The reversal of 2758505040 is 405058572.

It is a happy number.

2758505040 is a `hidden beast` number, since 2 + 75 + 85 + 0 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2758504986 and 2758505004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758505041) 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, 4303120 + ... + 4303760.

It is an arithmetic number, because the mean of its divisors is an integer number (39843804).

Almost surely, 2^2758505040 is an apocalyptic number.

2758505040 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 2758505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781256480).

2758505040 is an abundant number, since it is smaller than the sum of its proper divisors (6804007920).

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

2758505040 is a wasteful number, since it uses less digits than its factorization.

2758505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2758505040 is about 52521.4721804330. The cubic root of 2758505040 is about 1402.4625096025.

The spelling of 2758505040 in words is "two billion, seven hundred fifty-eight million, five hundred five thousand, forty".