2778148800 has 336 divisors, whose sum is σ = 11575409920. Its totient is φ = 634936320.

The previous prime is 2778148799. The next prime is 2778148819. The reversal of 2778148800 is 88418772.

2778148800 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 a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2778148800² = 15436221509882880000, 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 47 ways as a sum of consecutive naturals, for example, 297807 + ... + 306993.

Almost surely, 2^2778148800 is an apocalyptic number.

2778148800 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 2778148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787704960).

2778148800 is an abundant number, since it is smaller than the sum of its proper divisors (8797261120).

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

2778148800 is a wasteful number, since it uses less digits than its factorization.

2778148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9225 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 2778148800 is about 52708.1473778011. The cubic root of 2778148800 is about 1405.7836925023.

The spelling of 2778148800 in words is "two billion, seven hundred seventy-eight million, one hundred forty-eight thousand, eight hundred".