2477949120 has 84 divisors (see below), whose sum is σ = 8523122400. Its totient is φ = 660785664.

The previous prime is 2477949101. The next prime is 2477949127. The reversal of 2477949120 is 219497742.

It is a happy number.

2477949120 is a `hidden beast` number, since 2 + 477 + 94 + 91 + 2 + 0 = 666.

It is a super-2 number, since 2×2477949120² = 12280463682617548800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (2477949127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427320 + ... + 433079.

Almost surely, 2^2477949120 is an apocalyptic number.

2477949120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2477949120 is an abundant number, since it is smaller than the sum of its proper divisors (6045173280).

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

2477949120 is a wasteful number, since it uses less digits than its factorization.

2477949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860422 (or 860409 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2477949120 is about 49779.0028023865. The cubic root of 2477949120 is about 1353.2066652189.

The spelling of 2477949120 in words is "two billion, four hundred seventy-seven million, nine hundred forty-nine thousand, one hundred twenty".