2454955776 has 360 divisors, whose sum is σ = 9016443744. Its totient is φ = 646963200.

The previous prime is 2454955759. The next prime is 2454955787. The reversal of 2454955776 is 6775594542.

It is a happy number.

2454955776 is a `hidden beast` number, since 2 + 45 + 49 + 557 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1886326 + ... + 1887626.

Almost surely, 2^2454955776 is an apocalyptic number.

2454955776 is a gapful number since it is divisible by the number (26) 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 2454955776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508221872).

2454955776 is an abundant number, since it is smaller than the sum of its proper divisors (6561487968).

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

2454955776 is a wasteful number, since it uses less digits than its factorization.

2454955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1326 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 2454955776 is about 49547.5102906291. The cubic root of 2454955776 is about 1349.0081010203.

The spelling of 2454955776 in words is "two billion, four hundred fifty-four million, nine hundred fifty-five thousand, seven hundred seventy-six".