2538309960 has 192 divisors, whose sum is σ = 8634487680. Its totient is φ = 670602240.

The previous prime is 2538309931. The next prime is 2538309989. The reversal of 2538309960 is 699038352.

2538309960 is a `hidden beast` number, since 253 + 8 + 309 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2538309931) and next prime (2538309989).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1097205 + ... + 1099515.

It is an arithmetic number, because the mean of its divisors is an integer number (44971290).

Almost surely, 2^2538309960 is an apocalyptic number.

2538309960 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 2538309960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317243840).

2538309960 is an abundant number, since it is smaller than the sum of its proper divisors (6096177720).

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

2538309960 is a wasteful number, since it uses less digits than its factorization.

2538309960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2538309960 is about 50381.6430855525. The cubic root of 2538309960 is about 1364.1063103157.

The spelling of 2538309960 in words is "two billion, five hundred thirty-eight million, three hundred nine thousand, nine hundred sixty".