2464345620 has 288 divisors, whose sum is σ = 8735440896. Its totient is φ = 577756800.

The previous prime is 2464345601. The next prime is 2464345627. The reversal of 2464345620 is 265434642.

2464345620 is a `hidden beast` number, since 2 + 4 + 64 + 34 + 562 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2464345627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1656517 + ... + 1658003.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 2^2464345620 is an apocalyptic number.

2464345620 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 2464345620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367720448).

2464345620 is an abundant number, since it is smaller than the sum of its proper divisors (6271095276).

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

2464345620 is a wasteful number, since it uses less digits than its factorization.

2464345620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2464345620 is about 49642.1758185517. The cubic root of 2464345620 is about 1350.7258319064.

The spelling of 2464345620 in words is "two billion, four hundred sixty-four million, three hundred forty-five thousand, six hundred twenty".