2905521840 has 240 divisors, whose sum is σ = 10898448288. Its totient is φ = 715143168.

The previous prime is 2905521809. The next prime is 2905521869. The reversal of 2905521840 is 481255092.

2905521840 is a `hidden beast` number, since 2 + 90 + 5 + 521 + 8 + 40 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2905521795 and 2905521804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246972 + ... + 258468.

Almost surely, 2^2905521840 is an apocalyptic number.

2905521840 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 2905521840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449224144).

2905521840 is an abundant number, since it is smaller than the sum of its proper divisors (7992926448).

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

2905521840 is a wasteful number, since it uses less digits than its factorization.

2905521840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2905521840 is about 53902.8926867566. The cubic root of 2905521840 is about 1426.9476746765.

The spelling of 2905521840 in words is "two billion, nine hundred five million, five hundred twenty-one thousand, eight hundred forty".