2417454721920 has 1024 divisors, whose sum is σ = 9400395202560. Its totient is φ = 516530995200.

The previous prime is 2417454721901. The next prime is 2417454721939. The reversal of 2417454721920 is 291274547142.

It is an interprime number because it is at equal distance from previous prime (2417454721901) and next prime (2417454721939).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2417454721920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3127366654 + ... + 3127367426.

It is an arithmetic number, because the mean of its divisors is an integer number (9180073440).

Almost surely, 2^{2417454721920} is an apocalyptic number.

2417454721920 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 2417454721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700197601280).

2417454721920 is an abundant number, since it is smaller than the sum of its proper divisors (6982940480640).

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

2417454721920 is a wasteful number, since it uses less digits than its factorization.

2417454721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 2417454721920 in words is "two trillion, four hundred seventeen billion, four hundred fifty-four million, seven hundred twenty-one thousand, nine hundred twenty".