2479780800 has 504 divisors, whose sum is σ = 10241113376. Its totient is φ = 557383680.

The previous prime is 2479780759. The next prime is 2479780817. The reversal of 2479780800 is 80879742.

2479780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2479780800² = 12298625632097280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7358232 + ... + 7358568.

Almost surely, 2^2479780800 is an apocalyptic number.

2479780800 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 2479780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120556688).

2479780800 is an abundant number, since it is smaller than the sum of its proper divisors (7761332576).

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

2479780800 is a wasteful number, since it uses less digits than its factorization.

2479780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2479780800 is about 49797.3975223605. The cubic root of 2479780800 is about 1353.5400095808.

The spelling of 2479780800 in words is "two billion, four hundred seventy-nine million, seven hundred eighty thousand, eight hundred".