2780152704 has 192 divisors, whose sum is σ = 9181011840. Its totient is φ = 791036928.

The previous prime is 2780152693. The next prime is 2780152709. The reversal of 2780152704 is 4072510872.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780152709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475087 + ... + 2476209.

It is an arithmetic number, because the mean of its divisors is an integer number (47817770).

Almost surely, 2^2780152704 is an apocalyptic number.

2780152704 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 2780152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590505920).

2780152704 is an abundant number, since it is smaller than the sum of its proper divisors (6400859136).

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

2780152704 is a wasteful number, since it uses less digits than its factorization.

2780152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2780152704 is about 52727.1533841910. The cubic root of 2780152704 is about 1406.1216127885.

The spelling of 2780152704 in words is "two billion, seven hundred eighty million, one hundred fifty-two thousand, seven hundred four".