2464985600 has 480 divisors, whose sum is σ = 7927742592. Its totient is φ = 737280000.

The previous prime is 2464985599. The next prime is 2464985617. The reversal of 2464985600 is 65894642.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 40409570 + ... + 40409630.

Almost surely, 2^2464985600 is an apocalyptic number.

2464985600 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 2464985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963871296).

2464985600 is an abundant number, since it is smaller than the sum of its proper divisors (5462756992).

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

2464985600 is a wasteful number, since it uses less digits than its factorization.

2464985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 2464985600 is about 49648.6213303048. The cubic root of 2464985600 is about 1350.8427476901.

It can be divided in two parts, 2464 and 985600, that multiplied together give a square (2428518400 = 49280²).

The spelling of 2464985600 in words is "two billion, four hundred sixty-four million, nine hundred eighty-five thousand, six hundred".