2940755040 has 144 divisors (see below), whose sum is σ = 10059115248. Its totient is φ = 782343168.

The previous prime is 2940755017. The next prime is 2940755107. The reversal of 2940755040 is 405570492.

2940755040 is a `hidden beast` number, since 29 + 40 + 7 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2940754986 and 2940755004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670294 + ... + 674666.

It is an arithmetic number, because the mean of its divisors is an integer number (69854967).

Almost surely, 2^2940755040 is an apocalyptic number.

2940755040 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 2940755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029557624).

2940755040 is an abundant number, since it is smaller than the sum of its proper divisors (7118360208).

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

2940755040 is a wasteful number, since it uses less digits than its factorization.

2940755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2940755040 is about 54228.7289174290. The cubic root of 2940755040 is about 1432.6923766016.

The spelling of 2940755040 in words is "two billion, nine hundred forty million, seven hundred fifty-five thousand, forty".