2478781440 has 440 divisors, whose sum is σ = 9154511520. Its totient is φ = 640991232.

The previous prime is 2478781429. The next prime is 2478781489. The reversal of 2478781440 is 441878742.

It is a super-2 number, since 2×2478781440² = 12288714854576947200, 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 39 ways as a sum of consecutive naturals, for example, 17832891 + ... + 17833029.

It is an arithmetic number, because the mean of its divisors is an integer number (20805708).

Almost surely, 2^2478781440 is an apocalyptic number.

2478781440 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 2478781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577255760).

2478781440 is an abundant number, since it is smaller than the sum of its proper divisors (6675730080).

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

2478781440 is a wasteful number, since it uses less digits than its factorization.

2478781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 2478781440 is about 49787.3622518807. The cubic root of 2478781440 is about 1353.3581580914.

The spelling of 2478781440 in words is "two billion, four hundred seventy-eight million, seven hundred eighty-one thousand, four hundred forty".