2114519904 has 336 divisors, whose sum is σ = 7456603392. Its totient is φ = 576854784.

The previous prime is 2114519887. The next prime is 2114519923. The reversal of 2114519904 is 4099154112.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3755527 + ... + 3756089.

It is an arithmetic number, because the mean of its divisors is an integer number (22192272).

Almost surely, 2^2114519904 is an apocalyptic number.

2114519904 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 2114519904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728301696).

2114519904 is an abundant number, since it is smaller than the sum of its proper divisors (5342083488).

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

2114519904 is an equidigital number, since it uses as much as digits as its factorization.

2114519904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2114519904 is about 45983.9091857141. The cubic root of 2114519904 is about 1283.5237993050.

The spelling of 2114519904 in words is "two billion, one hundred fourteen million, five hundred nineteen thousand, nine hundred four".