2542417920 has 432 divisors, whose sum is σ = 10268392680. Its totient is φ = 580091904.

The previous prime is 2542417919. The next prime is 2542417921. The reversal of 2542417920 is 297142452.

2542417920 is a `hidden beast` number, since 2 + 542 + 41 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2542417919) and next prime (2542417921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542417921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515559 + ... + 4516121.

Almost surely, 2^2542417920 is an apocalyptic number.

2542417920 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 2542417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134196340).

2542417920 is an abundant number, since it is smaller than the sum of its proper divisors (7725974760).

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

2542417920 is a wasteful number, since it uses less digits than its factorization.

2542417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2542417920 is about 50422.3950244333. The cubic root of 2542417920 is about 1364.8417962605.

The spelling of 2542417920 in words is "two billion, five hundred forty-two million, four hundred seventeen thousand, nine hundred twenty".