2496001600 has 63 divisors (see below), whose sum is σ = 6146645187. Its totient is φ = 997601280.

The previous prime is 2496001589. The next prime is 2496001631. The reversal of 2496001600 is 61006942.

The square root of 2496001600 is 49960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 133263936 + 2362737664 = 11544^2 + 48608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1997776 + ... + 1999024.

Almost surely, 2^2496001600 is an apocalyptic number.

2496001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2496001600 is the 49960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496001600

2496001600 is an abundant number, since it is smaller than the sum of its proper divisors (3650643587).

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

2496001600 is an frugal number, since it uses more digits than its factorization.

2496001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 2496001600 is about 1356.4848670527.

The spelling of 2496001600 in words is "two billion, four hundred ninety-six million, one thousand, six hundred".