2790488064 has 576 divisors, whose sum is σ = 10038712320. Its totient is φ = 681246720.

The previous prime is 2790488059. The next prime is 2790488119. The reversal of 2790488064 is 4608840972.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 90015729 + ... + 90015759.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^2790488064 is an apocalyptic number.

2790488064 is a gapful number since it is divisible by the number (24) 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 2790488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2790488064 is an abundant number, since it is smaller than the sum of its proper divisors (7248224256).

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

2790488064 is a wasteful number, since it uses less digits than its factorization.

2790488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2790488064 is about 52825.0704116899. The cubic root of 2790488064 is about 1407.8619010560.

The spelling of 2790488064 in words is "two billion, seven hundred ninety million, four hundred eighty-eight thousand, sixty-four".