2469540960 has 288 divisors, whose sum is σ = 9202152960. Its totient is φ = 623697408.

The previous prime is 2469540947. The next prime is 2469540971. The reversal of 2469540960 is 690459642.

2469540960 is a `hidden beast` number, since 2 + 46 + 9 + 540 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 737049 + ... + 740391.

It is an arithmetic number, because the mean of its divisors is an integer number (31951920).

Almost surely, 2^2469540960 is an apocalyptic number.

2469540960 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 2469540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

2469540960 is an abundant number, since it is smaller than the sum of its proper divisors (6732612000).

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

2469540960 is a wasteful number, since it uses less digits than its factorization.

2469540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2469540960 is about 49694.4761517817. The cubic root of 2469540960 is about 1351.6743669158.

The spelling of 2469540960 in words is "two billion, four hundred sixty-nine million, five hundred forty thousand, nine hundred sixty".