2052761040 has 480 divisors, whose sum is σ = 8022343680. Its totient is φ = 465484800.

The previous prime is 2052760993. The next prime is 2052761041. The reversal of 2052761040 is 401672502.

2052761040 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 7 + 610 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2052760995 and 2052761013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052761041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10747345 + ... + 10747535.

It is an arithmetic number, because the mean of its divisors is an integer number (16713216).

Almost surely, 2^2052761040 is an apocalyptic number.

2052761040 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 2052761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011171840).

2052761040 is an abundant number, since it is smaller than the sum of its proper divisors (5969582640).

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

2052761040 is a wasteful number, since it uses less digits than its factorization.

2052761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2052761040 is about 45307.4060171182. The cubic root of 2052761040 is about 1270.9041528953.

The spelling of 2052761040 in words is "two billion, fifty-two million, seven hundred sixty-one thousand, forty".