2428402977 has 128 divisors (see below), whose sum is σ = 5085696000. Its totient is φ = 1102947840.

The previous prime is 2428402969. The next prime is 2428402979. The reversal of 2428402977 is 7792048242.

2428402977 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2428402977 - 2³ = 2428402969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2428402979) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511149 + ... + 515877.

It is an arithmetic number, because the mean of its divisors is an integer number (39732000).

Almost surely, 2^2428402977 is an apocalyptic number.

2428402977 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2428402977 is an abundant number, since it is smaller than the sum of its proper divisors (2657293023).

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

2428402977 is a wasteful number, since it uses less digits than its factorization.

2428402977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2428402977 is about 49278.8288923347. The cubic root of 2428402977 is about 1344.1268365231.

The spelling of 2428402977 in words is "two billion, four hundred twenty-eight million, four hundred two thousand, nine hundred seventy-seven".