2477276340 has 384 divisors, whose sum is σ = 9134899200. Its totient is φ = 496742400.

The previous prime is 2477276323. The next prime is 2477276357. The reversal of 2477276340 is 436727742.

It is an interprime number because it is at equal distance from previous prime (2477276323) and next prime (2477276357).

It is a super-2 number, since 2×2477276340² = 12273796129447591200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2477276292 and 2477276301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7017604 + ... + 7017956.

It is an arithmetic number, because the mean of its divisors is an integer number (23788800).

Almost surely, 2^2477276340 is an apocalyptic number.

2477276340 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 2477276340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567449600).

2477276340 is an abundant number, since it is smaller than the sum of its proper divisors (6657622860).

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

2477276340 is a wasteful number, since it uses less digits than its factorization.

2477276340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The square root of 2477276340 is about 49772.2446751199. The cubic root of 2477276340 is about 1353.0841858697.

The spelling of 2477276340 in words is "two billion, four hundred seventy-seven million, two hundred seventy-six thousand, three hundred forty".