2052417536 has 96 divisors (see below), whose sum is σ = 4461649920. Its totient is φ = 938262528.

The previous prime is 2052417517. The next prime is 2052417539. The reversal of 2052417536 is 6357142502.

It is a super-2 number, since 2×2052417536² = 8424835484160622592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2052417496 and 2052417505.

It is not an unprimeable number, because it can be changed into a prime (2052417539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3380945 + ... + 3381551.

It is an arithmetic number, because the mean of its divisors is an integer number (46475520).

Almost surely, 2^2052417536 is an apocalyptic number.

2052417536 is a gapful number since it is divisible by the number (26) 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 2052417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230824960).

2052417536 is an abundant number, since it is smaller than the sum of its proper divisors (2409232384).

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

2052417536 is a wasteful number, since it uses less digits than its factorization.

2052417536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 2052417536 is about 45303.6150433936. The cubic root of 2052417536 is about 1270.8332589457.

The spelling of 2052417536 in words is "two billion, fifty-two million, four hundred seventeen thousand, five hundred thirty-six".