2420931240 has 1152 divisors, whose sum is σ = 11293551360. Its totient is φ = 459841536.

The previous prime is 2420931229. The next prime is 2420931251. The reversal of 2420931240 is 421390242.

It is an interprime number because it is at equal distance from previous prime (2420931229) and next prime (2420931251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105257869 + ... + 105257891.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^2420931240 is an apocalyptic number.

2420931240 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 2420931240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

2420931240 is an abundant number, since it is smaller than the sum of its proper divisors (8872620120).

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

2420931240 is a wasteful number, since it uses less digits than its factorization.

2420931240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2420931240 is about 49202.9596670769. The cubic root of 2420931240 is about 1342.7468788508.

The spelling of 2420931240 in words is "two billion, four hundred twenty million, nine hundred thirty-one thousand, two hundred forty".